Question

Write 0.725 as a fraction in its simplest form

Answer 1

First, you want to write 725 as the numerator of the fraction because that is what the number reads after the decimal point. For the denominator of the fraction, we will put 1,000 because there are 3 numbers that appear after the decimal point so we can put 3 zeroes and put a 1 in front of it.

The fraction 725/1000 is not in lowest terms.We can divide both the numerator and the denominator by 5 and we will get 145/200.

The fraction can still be reduced so we can divide both the numerator and the denominator by 5 again and we will get our simplified fraction which is 29/40.

Answer 2

To convert any decimal number into a fraction simply divide it by 1 and follow it with as many zeros as there are numbers after the decimal point.
In this case we will divide 0.725 by 1000  (three digits <725> after the decimal point)

0.725÷1000 = 5/8

if for example you had 0.75 and had to convert it into fractions, you would divide it by 100 (because only two digits after the decimal point)