Fractions To Decimals
I wrote extensively about the importance of (and difficulties in understanding) fractions and I said that all fractions are in the end numbers which you can digit in a calculator.
Actually, ALL fractions are in the end but decimals, including 1/1 which is simply equal to 1.0000....! Or simply 1 for our comfort zone!
And of course numbers can be 2.345... or 1. 66666..., that is repeating-decimal numbers. with repeating
Now, to convert a fraction to decimals you simply have to divide the top number by the bottom number and then round-off to the degree of accuracy that you need (i.d. one, two or more positions after the point).
two thirds is equal to decimal...
2/3 = 2 : 3
= 0.6666... (the 6 goes on forever)
= 0.67 (rounding off to two decimal positions)
What is 4/7 in decimal terms? (you can use this online calculator in this case...)
The solution is 4/7 = 4 : 7 = 0.57142857142857...
so roughly = 0.57
(did you notice the recurrent integers 571428?)
Did you get it?
So divide the fraction as it were a division. That's it!
But what if you don't have a pocket calculator is there another simple way to convert fractions to decimals?
Yes there is, but only for fractions which have 10 or a power of 10 as denominator. So:
1. Look if the denominator is 10 or one of its powers (100, 1'000, 10'000, 100'000 etc,,,)
2. If not, correct the fraction by converting the denominator to 10 or one of its power
3. Simply read and "see" the value position of decimals
4. if you cannot convert the fraction to a 10-power denominator then simply divide the two numbers like shown at the beginning of this page!
Fractions to decimals examples:
1. What decimal number is 5/100?
2.What decimal number is 345/100?
3. What decimal number is 5/25?
Not clear enough?
Don't worry, that's more than normal, even Leonardo Da Vinci was not very good at fractions, did you know?.
Source: The A to Z of Mathematics: A Basic Guide
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Stay in touch with nature. It's full of mathematics!
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