Converting 83.8576 to a Fraction
Step-by-step explanation of how to convert 83.8576 to a fraction

Result

83.8576 =
52411
625
Mixed number:
83
536
625

Step 1: Identify the number of decimal places

The decimal 83.8576 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.8576 × 10000 = 838576

Step 3: Write as a fraction

83.8576 =

838576
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 838576 and 10000.

GCD(838576, 10000) = 16

Divide both the numerator and denominator by the GCD:

838576
10000

=

838576 ÷ 16
10000 ÷ 16

=

52411
625
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