Question

How do you convert a repeating decimal into a fraction? Because, I was asked this question: Rewrite as a simplified fraction. 3.24=?

Answer 1

3 6/25

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

3.24=3.24/1

Multiply to remove 2 decimal places. you multiply top and bottom by 10^2 = 100

3.24/1×100/100=324/100

Find the Greatest Common Factor of 324 and 100. reduce the fraction by dividing both numerator and denominator by GCF = 4,

324÷4 over 100÷4=81/25

Simplify the improper fraction

=3 & 6/25