Converting 31.4624 to a Fraction
Step-by-step explanation of how to convert 31.4624 to a fraction
Result
31.4624 =
19664
625
Mixed number:
31
289
625
Step 1: Identify the number of decimal places
The decimal 31.4624 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.4624 × 10000 = 314624
Step 3: Write as a fraction
31.4624 =
314624
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314624 and 10000.
GCD(314624, 10000) = 16
Divide both the numerator and denominator by the GCD:
314624
10000
=
314624 ÷ 16
10000 ÷ 16
=
19664
625
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