Converting 0.87144 to a Fraction
Step-by-step explanation of how to convert 0.87144 to a fraction

Result

0.87144 =
10893
12500

Step 1: Identify the number of decimal places

The decimal 0.87144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.87144 × 100000 = 87144

Step 3: Write as a fraction

0.87144 =

87144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 87144 and 100000.

GCD(87144, 100000) = 8

Divide both the numerator and denominator by the GCD:

87144
100000

=

87144 ÷ 8
100000 ÷ 8

=

10893
12500
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