Converting 31.09824 to a Fraction
Step-by-step explanation of how to convert 31.09824 to a fraction

Result

31.09824 =
97182
3125
Mixed number:
31
307
3125

Step 1: Identify the number of decimal places

The decimal 31.09824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

31.09824 × 100000 = 3109824

Step 3: Write as a fraction

31.09824 =

3109824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3109824 and 100000.

GCD(3109824, 100000) = 32

Divide both the numerator and denominator by the GCD:

3109824
100000

=

3109824 ÷ 32
100000 ÷ 32

=

97182
3125
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