Converting 87.5296 to a Fraction
Step-by-step explanation of how to convert 87.5296 to a fraction

Result

87.5296 =
54706
625
Mixed number:
87
331
625

Step 1: Identify the number of decimal places

The decimal 87.5296 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

87.5296 × 10000 = 875296

Step 3: Write as a fraction

87.5296 =

875296
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 875296 and 10000.

GCD(875296, 10000) = 16

Divide both the numerator and denominator by the GCD:

875296
10000

=

875296 ÷ 16
10000 ÷ 16

=

54706
625
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