Converting 0.13125 to a Fraction
Step-by-step explanation of how to convert 0.13125 to a fraction

Result

0.13125 =
21
160

Step 1: Identify the number of decimal places

The decimal 0.13125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.13125 × 100000 = 13125

Step 3: Write as a fraction

0.13125 =

13125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13125 and 100000.

GCD(13125, 100000) = 625

Divide both the numerator and denominator by the GCD:

13125
100000

=

13125 ÷ 625
100000 ÷ 625

=

21
160
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