Converting 0.15728 to a Fraction
Step-by-step explanation of how to convert 0.15728 to a fraction

Result

0.15728 =
983
6250

Step 1: Identify the number of decimal places

The decimal 0.15728 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.15728 × 100000 = 15728

Step 3: Write as a fraction

0.15728 =

15728
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15728 and 100000.

GCD(15728, 100000) = 16

Divide both the numerator and denominator by the GCD:

15728
100000

=

15728 ÷ 16
100000 ÷ 16

=

983
6250
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