Converting 31.46 to a Fraction
Step-by-step explanation of how to convert 31.46 to a fraction

Result

31.46 =
1573
50
Mixed number:
31
23
50

Step 1: Identify the number of decimal places

The decimal 31.46 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

31.46 × 100 = 3146

Step 3: Write as a fraction

31.46 =

3146
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3146 and 100.

GCD(3146, 100) = 2

Divide both the numerator and denominator by the GCD:

3146
100

=

3146 ÷ 2
100 ÷ 2

=

1573
50
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