Converting 31.566 to a Fraction
Step-by-step explanation of how to convert 31.566 to a fraction
Result
31.566 =
15783
500
Mixed number:
31
283
500
Step 1: Identify the number of decimal places
The decimal 31.566 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.566 × 1000 = 31566
Step 3: Write as a fraction
31.566 =
31566
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31566 and 1000.
GCD(31566, 1000) = 2
Divide both the numerator and denominator by the GCD:
31566
1000
=
31566 ÷ 2
1000 ÷ 2
=
15783
500
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