Converting 10.755 to a Fraction
Step-by-step explanation of how to convert 10.755 to a fraction
Result
10.755 =
2151
200
Mixed number:
10
151
200
Step 1: Identify the number of decimal places
The decimal 10.755 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.755 × 1000 = 10755
Step 3: Write as a fraction
10.755 =
10755
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10755 and 1000.
GCD(10755, 1000) = 5
Divide both the numerator and denominator by the GCD:
10755
1000
=
10755 ÷ 5
1000 ÷ 5
=
2151
200
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