Converting 0.15878 to a Fraction
Step-by-step explanation of how to convert 0.15878 to a fraction

Result

0.15878 =
7939
50000

Step 1: Identify the number of decimal places

The decimal 0.15878 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.15878 × 100000 = 15878

Step 3: Write as a fraction

0.15878 =

15878
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15878 and 100000.

GCD(15878, 100000) = 2

Divide both the numerator and denominator by the GCD:

15878
100000

=

15878 ÷ 2
100000 ÷ 2

=

7939
50000
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