Converting 83.77424 to a Fraction
Step-by-step explanation of how to convert 83.77424 to a fraction

Result

83.77424 =
523589
6250
Mixed number:
83
4839
6250

Step 1: Identify the number of decimal places

The decimal 83.77424 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

83.77424 × 100000 = 8377424

Step 3: Write as a fraction

83.77424 =

8377424
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8377424 and 100000.

GCD(8377424, 100000) = 16

Divide both the numerator and denominator by the GCD:

8377424
100000

=

8377424 ÷ 16
100000 ÷ 16

=

523589
6250
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