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Understanding Standard Size Dimensions
The Size Dimension pertains to diameter of screws, bolts, & pins and inner diameter of nuts and washers. You may search for your product based on diameter by selecting a measurement on the Size dropdown. Other size measurements, such as screw, bolts, pin length, the outer diameters of nuts & washers, etc., appear on the search result itself.
Continued fraction, expression of a number as the sum of an integer and a quotient, the denominator of which is the sum of an integer and a quotient, and so on. In general, where a 0, a 1, a 2, and b 0, b 1, b 2, are all integers. In a simple continued fraction (SCF), all the b i are equal to 1 and all the a i are positive.
A. Parts that Require Matching with a Mating Item
For example: Screws or bolts that drill through nuts, washers
Those parts that require matching with a mating item - screws or bolts with nuts or washers - have diameters that are denominated in actual inches or fractions thereof, followed by the number of threads per inch.
- What is 0.6 as a fraction? To write 0.6 as a fraction you have to write 0.6 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.6 = 0.6/1 = 6/10 And finally we have: 0.6 as a fraction equals 6/10.
- You can take any number, such as 6.1, and write a 1 as the denominator to make it a fraction and keep the same value, like this: 6.1 / 1 To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.1, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3.
- 1.6.5 False Cancelling. You can “cancel the 9’s” in 19 95 to get 1 5, and these two fractions are the same size. 26 2 Find some others which work. Answers: 16 1 64 4, 65 5, 49 4 1 98 8 2 1.6.6 NEED sets of cards containing different fractions (see pages – 1st page is easier; 2nd page is harder).
- For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100.
Screws and bolts that mate with a nut, as well as the nuts themselves, are denominated as such. Washers are not.
It is important to note that when matching a washer with a screw or a bolt, the diameter of the shaft of the screw or bolt should be matched to the inner diameter of the washer. For example, a ¾-16 bolt should be matched with a ¾ washer. The inner diameter of the ¾? washer will, in fact, be slightly larger than ¾? thereby enabling the washer to fit around the bolt. Consequently, when ordering a washer for a use other than matching it to a screw or a bolt, one should determine the actual inner iameter of the washer before placing an order.
Examples:
1. A fraction followed by a hyphen, followed by a number:
The fraction is the diameter of the shaft, in fraction of an inch. The number following the hyphen is the number of threads per inch, that is, the number of threads on the shaft itself, per inch of shaft length.
1/4-20: One quarter inch shaft diameter, 20 threads per inch
Iina 1 0 6 Fraction =
3/4-16: Three quarter inch shaft diameter, 16 threads per inch
2. For parts 1 inch or larger:
A number 1 or number larger than one, or number one or number larger than one followed by a fraction, then followed by a hyphen then a fraction or whole number:
The number 1 or number larger than one, or number one or number larger than one followed by a fraction, is the diameter of the shaft. The number following the hyphen is the number of threads per inch; that is, the number of threads on the shaft itself, per inch of shaft length. Same as for smaller parts.
1-12: One inch shaft diameter, 12 threads per inch
2-1/4-4-1/2: Two and one quarter inch shaft diameter, four and a half threads per inch
Note: The diameters of some smaller machine screws (though they may take a mating part), are denominated with the industry Numeric Size system described below. See section C below for clarification.
B. Parts that do not Require Matching with a Mating Item
Those parts that do not require matching with a mating item - screws or bolts that simply drill into or through a surface - are often denominated by industry Numeric Sizes preceded by a # sign. These do not show a number of threads-per-inch designation. These industry Numeric Sizes run from #0 through #15, with #0 the smallest and #15 the largest.
These Numeric Sizes are shaft diameters (and inner diameters of some washers) that were standardized years ago by the American Society of Mechanical Engineers (ASME), American Society of Testing & Materials (ASTM), and other standards bodies. These sizes were standardized based on sizes already commonly in use in the market.
1. Examples:
An industry Numeric Size, preceded by a # sign:
#6: A Number 6 size (sheet metal screws, Teks screws, drywall screws, particle board screws, wood screws, U-drive screws)
#8: A Number 8 size (sheet metal screws, Teks screws, drywall screws, particle board screws, wood screws, U-drive screws)
Iina 1 0 6 Fraction Decimal
#14: A Number 14 size (sheet metal screws, Teks screws, wood screws)
2. Basic Major Diameters of industry Numeric Size-denominated screws:
(in inches)
#0: 0.0600 or 3/50 in
#1: 0.0730 or 73/1000 in
#2: 0.0860 or 43/500 in
#3: 0.0990 or 99/1000 in
#4: 0.1120 or 14/125 in
#5: 0.1250 or 1/8 in
#6: 0.1380 or 69/500 in
#7: 0.151 or 77/512
#8: 0.1640 or 41/250 in
#9: 0.1770 or 11/64 in
#10: 0.1900 or 19/100 in
#12: 0.2160 or 27/125 in
#14: 0.2500 or 1/4 in
#15: 0.3120 or 5/16 in
#16: 0.3750 or 3/8 in
#1: 0.0730 or 73/1000 in
#2: 0.0860 or 43/500 in
#3: 0.0990 or 99/1000 in
#4: 0.1120 or 14/125 in
#5: 0.1250 or 1/8 in
#6: 0.1380 or 69/500 in
#7: 0.151 or 77/512
#8: 0.1640 or 41/250 in
#9: 0.1770 or 11/64 in
#10: 0.1900 or 19/100 in
#12: 0.2160 or 27/125 in
#14: 0.2500 or 1/4 in
#15: 0.3120 or 5/16 in
#16: 0.3750 or 3/8 in
Numeric Size denominations larger than #16 are uncommon.
Diameters are based on ASME Coarse Thread Series (UNC/UNRC) and ASME Fine Thread Series (UNF/UNRF)
C. Machine Screw Diameters denominated with the industry Numeric Size system
The diameters of smaller machine screws are denominated with the same Basic Major Diameters of industry Numeric Size-denominated screws noted in section B. 2. above, but with a number of threads per inch count as well. Here follows a list, in inches:
2-56: 0.0860 or 43/500 in diameter; 56 threads per inch
4-40: 0.1120 or 14/125 in diameter; 40 threads per inch
5-40: 0.1250 or 1/8 in diameter; 40 threads per inch
6-32: 0.1380 or 69/500 in diameter; 32 threads per inch
8-32: 0.1640 or 41/250 in diameter; 32 threads per inch
10-32: 0.1900 or 19/100 in diameter; 32 threads per inch
10-24: 0.1900 or 19/100 in diameter; 24 threads per inch
12-24: 0.2160 or 27/125 in diameter; 24 threads per inch
4-40: 0.1120 or 14/125 in diameter; 40 threads per inch
5-40: 0.1250 or 1/8 in diameter; 40 threads per inch
6-32: 0.1380 or 69/500 in diameter; 32 threads per inch
8-32: 0.1640 or 41/250 in diameter; 32 threads per inch
10-32: 0.1900 or 19/100 in diameter; 32 threads per inch
10-24: 0.1900 or 19/100 in diameter; 24 threads per inch
12-24: 0.2160 or 27/125 in diameter; 24 threads per inch
Convert Percents, Decimals, and Fractions
Learning Objective(s)
·Describe the meaning of percent.
·Represent a number as a decimal, percent, and fraction.
Three common formats for numbers are fractions, decimals, and percents.Percents are often used to communicate a relative amount. You have probably seen them used for discounts, where the percent of discount can apply to different prices. Percents are also used when discussing taxes and interest rates on savings and loans.
The Meaning of Percent
A percent is a ratio of a number to 100. Per cent means “per 100,” or “how many out of 100.” You use the symbol % after a number to indicate percent.
Notice that 12 of the 100 squares in the grid below have been shaded green. This represents 12 percent (12 per 100).
How many of the squares in the grid above are unshaded? Since 12 are shaded and there are a total of 100 squares, 88 are unshaded. The unshaded portion of the whole grid is 88 parts out of 100, or 88% of the grid. Notice that the shaded and unshaded portions together make 100% of the grid (100 out of 100 squares).
Example | |
Problem | What percent of the grid is shaded? |
The grid is divided into 100 smaller squares, with 10 squares in each row. | |
23 squares out of 100 squares are shaded. | |
Answer | 23% of the grid is shaded. |
Example | |
Problem | What percent of the large square is shaded? |
The grid is divided into 10 rectangles. For percents, you need to look at 100 equal-sized parts of the whole. You can divide each of the 10 rectangles into 10 pieces, giving 100 parts. | |
30 small squares out of 100 are shaded. | |
Answer | 30% of the large square is shaded. |
What percent of this grid is shaded? A) 3% B) 11% C) 38% D) 62% |
Rewriting Percents, Decimals, and Fractions
It is often helpful to change the format of a number. For example, you may find it easier to add decimals than to add fractions. If you can write the fractions as decimals, you can add them as decimals. Then you can rewrite your decimal sum as a fraction, if necessary.
Percents can be written as fractions and decimals in very few steps.
Example | ||
Problem | Write 25% as a simplified fraction and as a decimal. | |
Write as a fraction. | 25% = | Since % means “out of 100,” 25% means 25 out of 100. You write this as a fraction, using 100 as the denominator. |
Simplify the fraction by dividing the numerator and denominator by the common factor 25. | ||
Write as a decimal. | 25% = = 0.25 | You can also just move the decimal point in the whole number 25 two places to the left to get 0.25. |
Answer | 25% = = 0.25 |
Notice in the diagram below that 25% of a grid is also of the grid, as you found in the example.
Notice that in the previous example, rewriting a percent as a decimal takes just a shift of the decimal point. You can use fractions to understand why this is the case. Any percentage x can be represented as the fraction , and any fraction can be written as a decimal by moving the decimal point in x two places to the left. For example, 81% can be written as , and dividing 81 by 100 results in 0.81. People often skip over the intermediary fraction step and just convert a percent to a decimal by moving the decimal point two places to the left.
In the same way, rewriting a decimal as a percent (or as a fraction) requires few steps. Mamp pro 5 6 volt.
Example | ||
Problem | Write 0.6 as a percent and as a simplified fraction. | |
Write as a percent. | 0.6 = 0.60 = 60% | Write 0.6 as 0.60, which is 60 hundredths. 60 hundredths is 60 percent. You can also move the decimal point two places to the right to find the percent equivalent. |
Write as a fraction. | 0.6 = | To write 0.6 as a fraction, you read the decimal, 6 tenths, and write 6 tenths in fraction form. |
Simplify the fraction by dividing the numerator and denominator by 2, a common factor. | ||
Answer | 0.6 = 60% = |
In this example, the percent is not a whole number. You can handle this in the same way, but it’s usually easier to convert the percent to a decimal and then convert the decimal to a fraction.
Example | |||
Problem | Write 5.6% as a decimal and as a simplified fraction. | ||
Write as a decimal. | 5.6% = 0.056 | Move the decimal point two places to the left. In this case, insert a 0 in front of the 5 (05.6) in order to be able to move the decimal to the left two places. | |
Write as a fraction. | 0.056 = | Write the fraction as you would read the decimal. The last digit is in the thousandths place, so the denominator is 1,000. | |
Simplify the fraction by dividing the numerator and denominator by 8, a common factor. | |||
Answer | 5.6% = = 0.056 |
Write 0.645 as a percent and as a simplified fraction. A) 64.5% and B) 0.645% and C) 645% and D) 64.5% and |
In order to write a fraction as a decimal or a percent, you can write the fraction as an equivalent fraction with a denominator of 10 (or any other power of 10 such as 100 or 1,000), which can be then converted to a decimal and then a percent.
Example | ||
Problem | Write as a decimal and as a percent. | |
Write as a decimal. | Find an equivalent fraction with 10, 100, 1,000, or other power of 10 in the denominator. Since 100 is a multiple of 4, you can multiply 4 by 25 to get 100. Multiply both the numerator and the denominator by 25. | |
= 0.75 | Write the fraction as a decimal with the 5 in the hundredths place. | |
Write as a percent. | 0.75 = 75% | To write the decimal as a percent, move the decimal point two places to the right. |
Answer | = 0.75 = 75% |
If it is difficult to find an equivalent fraction with a denominator of 10, 100, 1,000, and so on, you can always divide the numerator by the denominator to find the decimal equivalent.
Example | ||
Problem | Write as a decimal and as a percent. | |
Write as a decimal. | Divide the numerator by the denominator. 3 ÷ 8 = 0.375. | |
Write as a percent. | 0.375 = 37.5% | To write the decimal as a percent, move the decimal point two places to the right. |
Answer | = 0.375 = 37.5% |
Write as a decimal and as a percent. A) 80.0 and 0.8% B) 0.4 and 4% C) 0.8 and 80% D) 0.8 and 8% |
Mixed Numbers
![Iina 1 0 6 Fraction Iina 1 0 6 Fraction](https://mac-cdn.softpedia.com/screenshots/iina_9.jpg)
Iina 1 0 6 Fraction Calculator
All the previous examples involve fractions and decimals less than 1, so all of the percents you have seen so far have been less than 100%.
Percents greater than 100% are possible as well. Percents more than 100% are used to describe situations where there is more than one whole (fractions and decimals greater than 1 are used for the same reason).
In the diagram below, 115% is shaded. Each grid is considered a whole, and you need two grids for 115%.
Expressed as a decimal, the percent 115% is 1.15; as a fraction, it is , or . Notice that you can still convert among percents, fractions, and decimals when the quantity is greater than one whole.
Numbers greater than one that include a fractional part can be written as the sum of a whole number and the fractional part. For instance, the mixed number is the sum of the whole number 3 and the fraction . = 3 + .
Example | ||
Problem | Write as a decimal and as a percent. | |
Write the mixed fraction as 2 wholes plus the fractional part. | ||
Write as a decimal. | Write the fractional part as a decimal by dividing the numerator by the denominator. 7 ÷ 8 = 0.875. | |
Add 2 to the decimal. | ||
Write as a percent. | 2.875 = 287.5% | Now you can move the decimal point two places to the right to write the decimal as a percent. |
Answer | = 2.875 = 287.5% |
Note that a whole number can be written as a percent. 100% means one whole; so two wholes would be 200%.
Example | ||
Problem | Write 375% as a decimal and as a simplified fraction. | |
Write as a decimal. | 375% = 3.75 | Move the decimal point two places to the left. Note that there is a whole number along with the decimal as the percent is more than 100%. |
Write as a fraction. | 3.75 = 3 + 0.75 | Write the decimal as a sum of the whole number and the fractional part. |
0.75 = | Write the decimal part as a fraction. | |
Simplify the fraction by dividing the numerator and denominator by a common factor of 25. | ||
3 + = | Add the whole number part to the fraction. | |
Answer | 375% = 3.75= |
Write 4.12 as a percent and as a simplified fraction. A) 0.0412% and B) 412% and C) 412% and D) 4.12% and |
Iina 1 0 6 Fraction Equals
Summary
Percents are a common way to represent fractional amounts, just as decimals and fractions are. Any number that can be written as a decimal, fraction, or percent can also be written using the other two representations.