Converting 87.7152 to a Fraction
Step-by-step explanation of how to convert 87.7152 to a fraction

Result

87.7152 =
54822
625
Mixed number:
87
447
625

Step 1: Identify the number of decimal places

The decimal 87.7152 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

87.7152 × 10000 = 877152

Step 3: Write as a fraction

87.7152 =

877152
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 877152 and 10000.

GCD(877152, 10000) = 16

Divide both the numerator and denominator by the GCD:

877152
10000

=

877152 ÷ 16
10000 ÷ 16

=

54822
625
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