Converting 71.4624 to a Fraction
Step-by-step explanation of how to convert 71.4624 to a fraction
Result
71.4624 =
44664
625
Mixed number:
71
289
625
Step 1: Identify the number of decimal places
The decimal 71.4624 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
71.4624 × 10000 = 714624
Step 3: Write as a fraction
71.4624 =
714624
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 714624 and 10000.
GCD(714624, 10000) = 16
Divide both the numerator and denominator by the GCD:
714624
10000
=
714624 ÷ 16
10000 ÷ 16
=
44664
625
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