Converting 10.75 to a Fraction
Step-by-step explanation of how to convert 10.75 to a fraction
Result
10.75 =
43
4
Mixed number:
10
3
4
Step 1: Identify the number of decimal places
The decimal 10.75 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.75 × 100 = 1075
Step 3: Write as a fraction
10.75 =
1075
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1075 and 100.
GCD(1075, 100) = 25
Divide both the numerator and denominator by the GCD:
1075
100
=
1075 ÷ 25
100 ÷ 25
=
43
4
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