Converting 31.54 to a Fraction
Step-by-step explanation of how to convert 31.54 to a fraction
Result
31.54 =
1577
50
Mixed number:
31
27
50
Step 1: Identify the number of decimal places
The decimal 31.54 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
31.54 × 100 = 3154
Step 3: Write as a fraction
31.54 =
3154
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3154 and 100.
GCD(3154, 100) = 2
Divide both the numerator and denominator by the GCD:
3154
100
=
3154 ÷ 2
100 ÷ 2
=
1577
50
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