Converting 31.45 to a Fraction
Step-by-step explanation of how to convert 31.45 to a fraction
Result
31.45 =
629
20
Mixed number:
31
9
20
Step 1: Identify the number of decimal places
The decimal 31.45 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
31.45 × 100 = 3145
Step 3: Write as a fraction
31.45 =
3145
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3145 and 100.
GCD(3145, 100) = 5
Divide both the numerator and denominator by the GCD:
3145
100
=
3145 ÷ 5
100 ÷ 5
=
629
20
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