Converting 10.86875 to a Fraction
Step-by-step explanation of how to convert 10.86875 to a fraction
Result
10.86875 =
1739
160
Mixed number:
10
139
160
Step 1: Identify the number of decimal places
The decimal 10.86875 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.86875 × 100000 = 1086875
Step 3: Write as a fraction
10.86875 =
1086875
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1086875 and 100000.
GCD(1086875, 100000) = 625
Divide both the numerator and denominator by the GCD:
1086875
100000
=
1086875 ÷ 625
100000 ÷ 625
=
1739
160
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