Converting 83.7584 to a Fraction
Step-by-step explanation of how to convert 83.7584 to a fraction

Result

83.7584 =
52349
625
Mixed number:
83
474
625

Step 1: Identify the number of decimal places

The decimal 83.7584 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.7584 × 10000 = 837584

Step 3: Write as a fraction

83.7584 =

837584
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 837584 and 10000.

GCD(837584, 10000) = 16

Divide both the numerator and denominator by the GCD:

837584
10000

=

837584 ÷ 16
10000 ÷ 16

=

52349
625
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