Converting 2.24 to a Fraction
Step-by-step explanation of how to convert 2.24 to a fraction
Result
2.24 =
56
25
Mixed number:
2
6
25
Step 1: Identify the number of decimal places
The decimal 2.24 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
2.24 × 100 = 224
Step 3: Write as a fraction
2.24 =
224
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 224 and 100.
GCD(224, 100) = 4
Divide both the numerator and denominator by the GCD:
224
100
=
224 ÷ 4
100 ÷ 4
=
56
25
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