Converting 31.758 to a Fraction
Step-by-step explanation of how to convert 31.758 to a fraction

Result

31.758 =
15879
500
Mixed number:
31
379
500

Step 1: Identify the number of decimal places

The decimal 31.758 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.758 × 1000 = 31758

Step 3: Write as a fraction

31.758 =

31758
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31758 and 1000.

GCD(31758, 1000) = 2

Divide both the numerator and denominator by the GCD:

31758
1000

=

31758 ÷ 2
1000 ÷ 2

=

15879
500
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