Converting 5.12 to a Fraction
Step-by-step explanation of how to convert 5.12 to a fraction
Result
5.12 =
128
25
Mixed number:
5
3
25
Step 1: Identify the number of decimal places
The decimal 5.12 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
5.12 × 100 = 512
Step 3: Write as a fraction
5.12 =
512
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 512 and 100.
GCD(512, 100) = 4
Divide both the numerator and denominator by the GCD:
512
100
=
512 ÷ 4
100 ÷ 4
=
128
25
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