Converting 31.8424 to a Fraction
Step-by-step explanation of how to convert 31.8424 to a fraction

Result

31.8424 =
39803
1250
Mixed number:
31
1053
1250

Step 1: Identify the number of decimal places

The decimal 31.8424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.8424 × 10000 = 318424

Step 3: Write as a fraction

31.8424 =

318424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 318424 and 10000.

GCD(318424, 10000) = 8

Divide both the numerator and denominator by the GCD:

318424
10000

=

318424 ÷ 8
10000 ÷ 8

=

39803
1250
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