Converting 12.5624 to a Fraction
Step-by-step explanation of how to convert 12.5624 to a fraction

Result

12.5624 =
15703
1250
Mixed number:
12
703
1250

Step 1: Identify the number of decimal places

The decimal 12.5624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.5624 × 10000 = 125624

Step 3: Write as a fraction

12.5624 =

125624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 125624 and 10000.

GCD(125624, 10000) = 8

Divide both the numerator and denominator by the GCD:

125624
10000

=

125624 ÷ 8
10000 ÷ 8

=

15703
1250
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