Converting 31.565 to a Fraction
Step-by-step explanation of how to convert 31.565 to a fraction
Result
31.565 =
6313
200
Mixed number:
31
113
200
Step 1: Identify the number of decimal places
The decimal 31.565 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.565 × 1000 = 31565
Step 3: Write as a fraction
31.565 =
31565
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31565 and 1000.
GCD(31565, 1000) = 5
Divide both the numerator and denominator by the GCD:
31565
1000
=
31565 ÷ 5
1000 ÷ 5
=
6313
200
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