Converting 31.36 to a Fraction
Step-by-step explanation of how to convert 31.36 to a fraction

Result

31.36 =
784
25
Mixed number:
31
9
25

Step 1: Identify the number of decimal places

The decimal 31.36 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

31.36 × 100 = 3136

Step 3: Write as a fraction

31.36 =

3136
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3136 and 100.

GCD(3136, 100) = 4

Divide both the numerator and denominator by the GCD:

3136
100

=

3136 ÷ 4
100 ÷ 4

=

784
25
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