Converting 8.72 to a Fraction
Step-by-step explanation of how to convert 8.72 to a fraction
Result
8.72 =
218
25
Mixed number:
8
18
25
Step 1: Identify the number of decimal places
The decimal 8.72 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
8.72 × 100 = 872
Step 3: Write as a fraction
8.72 =
872
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 872 and 100.
GCD(872, 100) = 4
Divide both the numerator and denominator by the GCD:
872
100
=
872 ÷ 4
100 ÷ 4
=
218
25
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