Converting 10.75768 to a Fraction
Step-by-step explanation of how to convert 10.75768 to a fraction
Result
10.75768 =
134471
12500
Mixed number:
10
9471
12500
Step 1: Identify the number of decimal places
The decimal 10.75768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.75768 × 100000 = 1075768
Step 3: Write as a fraction
10.75768 =
1075768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1075768 and 100000.
GCD(1075768, 100000) = 8
Divide both the numerator and denominator by the GCD:
1075768
100000
=
1075768 ÷ 8
100000 ÷ 8
=
134471
12500
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