Date: Sun, 19 Sep 1999 13:34:27 EDT
My son is in 5th grade, and I can't seem to find any papers that have a simple explanation of how to convert decimals into fractions, percents into decimals, and vice-versa. Can you please help?
To convert a decimal, like 0.36, to a fraction first think of 0.36 as 0.36 divided by 1. Since a fraction is an integer divided by an integer and the numerator has two digits after the decimal, multiply both the numerator and denominator by 102 = 100. This gives
It is usual to express fractions in lowest terms and both the numerator and denominator are divisible by 4, thus
If the decimal is repeating, as in 1.282828..., then there is a Quandaries and Queries note called Repeating Decimals that explains how to convert it to a fraction.
I hope this helps,