Converting 0.12456 to a Fraction
Step-by-step explanation of how to convert 0.12456 to a fraction

Result

0.12456 =
1557
12500

Step 1: Identify the number of decimal places

The decimal 0.12456 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.12456 × 100000 = 12456

Step 3: Write as a fraction

0.12456 =

12456
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12456 and 100000.

GCD(12456, 100000) = 8

Divide both the numerator and denominator by the GCD:

12456
100000

=

12456 ÷ 8
100000 ÷ 8

=

1557
12500
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