Converting 83.2384 to a Fraction
Step-by-step explanation of how to convert 83.2384 to a fraction

Result

83.2384 =
52024
625
Mixed number:
83
149
625

Step 1: Identify the number of decimal places

The decimal 83.2384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.2384 × 10000 = 832384

Step 3: Write as a fraction

83.2384 =

832384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 832384 and 10000.

GCD(832384, 10000) = 16

Divide both the numerator and denominator by the GCD:

832384
10000

=

832384 ÷ 16
10000 ÷ 16

=

52024
625
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