Converting 10.5875 to a Fraction
Step-by-step explanation of how to convert 10.5875 to a fraction
Result
10.5875 =
847
80
Mixed number:
10
47
80
Step 1: Identify the number of decimal places
The decimal 10.5875 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.5875 × 10000 = 105875
Step 3: Write as a fraction
10.5875 =
105875
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 105875 and 10000.
GCD(105875, 10000) = 125
Divide both the numerator and denominator by the GCD:
105875
10000
=
105875 ÷ 125
10000 ÷ 125
=
847
80
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