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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