Converting 87.6864 to a Fraction
Step-by-step explanation of how to convert 87.6864 to a fraction

Result

87.6864 =
54804
625
Mixed number:
87
429
625

Step 1: Identify the number of decimal places

The decimal 87.6864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

87.6864 × 10000 = 876864

Step 3: Write as a fraction

87.6864 =

876864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 876864 and 10000.

GCD(876864, 10000) = 16

Divide both the numerator and denominator by the GCD:

876864
10000

=

876864 ÷ 16
10000 ÷ 16

=

54804
625
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