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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