Converting 31.5 to a Fraction
Step-by-step explanation of how to convert 31.5 to a fraction

Result

31.5 =
63
2
Mixed number:
31
1
2

Step 1: Identify the number of decimal places

The decimal 31.5 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

31.5 × 10 = 315

Step 3: Write as a fraction

31.5 =

315
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 315 and 10.

GCD(315, 10) = 5

Divide both the numerator and denominator by the GCD:

315
10

=

315 ÷ 5
10 ÷ 5

=

63
2
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