Converting 83.7528 to a Fraction
Step-by-step explanation of how to convert 83.7528 to a fraction

Result

83.7528 =
104691
1250
Mixed number:
83
941
1250

Step 1: Identify the number of decimal places

The decimal 83.7528 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.7528 × 10000 = 837528

Step 3: Write as a fraction

83.7528 =

837528
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 837528 and 10000.

GCD(837528, 10000) = 8

Divide both the numerator and denominator by the GCD:

837528
10000

=

837528 ÷ 8
10000 ÷ 8

=

104691
1250
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