Converting 31.7748 to a Fraction
Step-by-step explanation of how to convert 31.7748 to a fraction

Result

31.7748 =
79437
2500
Mixed number:
31
1937
2500

Step 1: Identify the number of decimal places

The decimal 31.7748 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.7748 × 10000 = 317748

Step 3: Write as a fraction

31.7748 =

317748
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 317748 and 10000.

GCD(317748, 10000) = 4

Divide both the numerator and denominator by the GCD:

317748
10000

=

317748 ÷ 4
10000 ÷ 4

=

79437
2500
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