Converting 87.3584 to a Fraction
Step-by-step explanation of how to convert 87.3584 to a fraction

Result

87.3584 =
54599
625
Mixed number:
87
224
625

Step 1: Identify the number of decimal places

The decimal 87.3584 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

87.3584 × 10000 = 873584

Step 3: Write as a fraction

87.3584 =

873584
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 873584 and 10000.

GCD(873584, 10000) = 16

Divide both the numerator and denominator by the GCD:

873584
10000

=

873584 ÷ 16
10000 ÷ 16

=

54599
625
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