Converting 10.24 to a Fraction
Step-by-step explanation of how to convert 10.24 to a fraction
Result
10.24 =
256
25
Mixed number:
10
6
25
Step 1: Identify the number of decimal places
The decimal 10.24 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.24 × 100 = 1024
Step 3: Write as a fraction
10.24 =
1024
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1024 and 100.
GCD(1024, 100) = 4
Divide both the numerator and denominator by the GCD:
1024
100
=
1024 ÷ 4
100 ÷ 4
=
256
25
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