Converting 31.498 to a Fraction
Step-by-step explanation of how to convert 31.498 to a fraction

Result

31.498 =
15749
500
Mixed number:
31
249
500

Step 1: Identify the number of decimal places

The decimal 31.498 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.498 × 1000 = 31498

Step 3: Write as a fraction

31.498 =

31498
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31498 and 1000.

GCD(31498, 1000) = 2

Divide both the numerator and denominator by the GCD:

31498
1000

=

31498 ÷ 2
1000 ÷ 2

=

15749
500
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