Converting 31.9768 to a Fraction
Step-by-step explanation of how to convert 31.9768 to a fraction
Result
31.9768 =
39971
1250
Mixed number:
31
1221
1250
Step 1: Identify the number of decimal places
The decimal 31.9768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.9768 × 10000 = 319768
Step 3: Write as a fraction
31.9768 =
319768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 319768 and 10000.
GCD(319768, 10000) = 8
Divide both the numerator and denominator by the GCD:
319768
10000
=
319768 ÷ 8
10000 ÷ 8
=
39971
1250
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