Converting 7.24 to a Fraction
Step-by-step explanation of how to convert 7.24 to a fraction
Result
7.24 =
181
25
Mixed number:
7
6
25
Step 1: Identify the number of decimal places
The decimal 7.24 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
7.24 × 100 = 724
Step 3: Write as a fraction
7.24 =
724
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 724 and 100.
GCD(724, 100) = 4
Divide both the numerator and denominator by the GCD:
724
100
=
724 ÷ 4
100 ÷ 4
=
181
25
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