Add 49/20 and 21/42
1st number: 2 9/20, 2nd number: 21/42
49/20 + 21/42 is 59/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
21/42 = 21 × 10/42 × 10 = 210/420 - Add the two like fractions:
1029/420 + 210/420 = 1029 + 210/420 = 1239/420 - 1239/420 simplified gives 59/20
- So, 49/20 + 21/42 = 59/20
In mixed form: 219/20
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