Converting 0.87414 to a Fraction
Step-by-step explanation of how to convert 0.87414 to a fraction

Result

0.87414 =
43707
50000

Step 1: Identify the number of decimal places

The decimal 0.87414 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.87414 × 100000 = 87414

Step 3: Write as a fraction

0.87414 =

87414
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 87414 and 100000.

GCD(87414, 100000) = 2

Divide both the numerator and denominator by the GCD:

87414
100000

=

87414 ÷ 2
100000 ÷ 2

=

43707
50000
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