Converting 87.0216 to a Fraction
Step-by-step explanation of how to convert 87.0216 to a fraction

Result

87.0216 =
108777
1250
Mixed number:
87
27
1250

Step 1: Identify the number of decimal places

The decimal 87.0216 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

87.0216 × 10000 = 870216

Step 3: Write as a fraction

87.0216 =

870216
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 870216 and 10000.

GCD(870216, 10000) = 8

Divide both the numerator and denominator by the GCD:

870216
10000

=

870216 ÷ 8
10000 ÷ 8

=

108777
1250
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