Add 20/9 and 49/42
1st number: 2 2/9, 2nd number: 1 7/42
20/9 + 49/42 is 61/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
49/42 = 49 × 3/42 × 3 = 147/126 - Add the two like fractions:
280/126 + 147/126 = 280 + 147/126 = 427/126 - 427/126 simplified gives 61/18
- So, 20/9 + 49/42 = 61/18
In mixed form: 37/18
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