Converting 4.56 to a Fraction
Step-by-step explanation of how to convert 4.56 to a fraction
Result
4.56 =
114
25
Mixed number:
4
14
25
Step 1: Identify the number of decimal places
The decimal 4.56 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
4.56 × 100 = 456
Step 3: Write as a fraction
4.56 =
456
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 456 and 100.
GCD(456, 100) = 4
Divide both the numerator and denominator by the GCD:
456
100
=
456 ÷ 4
100 ÷ 4
=
114
25
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