Converting 10.256 to a Fraction
Step-by-step explanation of how to convert 10.256 to a fraction
Result
10.256 =
1282
125
Mixed number:
10
32
125
Step 1: Identify the number of decimal places
The decimal 10.256 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.256 × 1000 = 10256
Step 3: Write as a fraction
10.256 =
10256
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10256 and 1000.
GCD(10256, 1000) = 8
Divide both the numerator and denominator by the GCD:
10256
1000
=
10256 ÷ 8
1000 ÷ 8
=
1282
125
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