Converting 0.107625 to a Fraction
Step-by-step explanation of how to convert 0.107625 to a fraction

Result

0.107625 =
861
8000

Step 1: Identify the number of decimal places

The decimal 0.107625 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.107625 × 1000000 = 107625

Step 3: Write as a fraction

0.107625 =

107625
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 107625 and 1000000.

GCD(107625, 1000000) = 125

Divide both the numerator and denominator by the GCD:

107625
1000000

=

107625 ÷ 125
1000000 ÷ 125

=

861
8000
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