Converting 13.724256 to a Fraction
Step-by-step explanation of how to convert 13.724256 to a fraction
Result
13.724256 =
428883
31250
Mixed number:
13
22633
31250
Step 1: Identify the number of decimal places
The decimal 13.724256 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
13.724256 × 1000000 = 13724256
Step 3: Write as a fraction
13.724256 =
13724256
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13724256 and 1000000.
GCD(13724256, 1000000) = 32
Divide both the numerator and denominator by the GCD:
13724256
1000000
=
13724256 ÷ 32
1000000 ÷ 32
=
428883
31250
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