Converting 31.52 to a Fraction
Step-by-step explanation of how to convert 31.52 to a fraction

Result

31.52 =
788
25
Mixed number:
31
13
25

Step 1: Identify the number of decimal places

The decimal 31.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

31.52 × 100 = 3152

Step 3: Write as a fraction

31.52 =

3152
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3152 and 100.

GCD(3152, 100) = 4

Divide both the numerator and denominator by the GCD:

3152
100

=

3152 ÷ 4
100 ÷ 4

=

788
25
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