Converting 83.9752 to a Fraction
Step-by-step explanation of how to convert 83.9752 to a fraction

Result

83.9752 =
104969
1250
Mixed number:
83
1219
1250

Step 1: Identify the number of decimal places

The decimal 83.9752 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.9752 × 10000 = 839752

Step 3: Write as a fraction

83.9752 =

839752
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 839752 and 10000.

GCD(839752, 10000) = 8

Divide both the numerator and denominator by the GCD:

839752
10000

=

839752 ÷ 8
10000 ÷ 8

=

104969
1250
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