Converting 0.105875 to a Fraction
Step-by-step explanation of how to convert 0.105875 to a fraction

Result

0.105875 =
847
8000

Step 1: Identify the number of decimal places

The decimal 0.105875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.105875 × 1000000 = 105875

Step 3: Write as a fraction

0.105875 =

105875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 105875 and 1000000.

GCD(105875, 1000000) = 125

Divide both the numerator and denominator by the GCD:

105875
1000000

=

105875 ÷ 125
1000000 ÷ 125

=

847
8000
Related Conversions
Other decimal to fraction conversions you might find useful