Converting 49.22 to a Fraction
Step-by-step explanation of how to convert 49.22 to a fraction
Result
49.22 =
2461
50
Mixed number:
49
11
50
Step 1: Identify the number of decimal places
The decimal 49.22 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
49.22 × 100 = 4922
Step 3: Write as a fraction
49.22 =
4922
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4922 and 100.
GCD(4922, 100) = 2
Divide both the numerator and denominator by the GCD:
4922
100
=
4922 ÷ 2
100 ÷ 2
=
2461
50
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