Converting 24.2276 to a Fraction
Step-by-step explanation of how to convert 24.2276 to a fraction
Result
24.2276 =
60569
2500
Mixed number:
24
569
2500
Step 1: Identify the number of decimal places
The decimal 24.2276 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
24.2276 × 10000 = 242276
Step 3: Write as a fraction
24.2276 =
242276
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 242276 and 10000.
GCD(242276, 10000) = 4
Divide both the numerator and denominator by the GCD:
242276
10000
=
242276 ÷ 4
10000 ÷ 4
=
60569
2500
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