Converting 31.24 to a Fraction
Step-by-step explanation of how to convert 31.24 to a fraction

Result

31.24 =
781
25
Mixed number:
31
6
25

Step 1: Identify the number of decimal places

The decimal 31.24 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

31.24 × 100 = 3124

Step 3: Write as a fraction

31.24 =

3124
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3124 and 100.

GCD(3124, 100) = 4

Divide both the numerator and denominator by the GCD:

3124
100

=

3124 ÷ 4
100 ÷ 4

=

781
25
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