Add 49/18 and 21/14
1st number: 2 13/18, 2nd number: 1 7/14
49/18 + 21/14 is 38/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
49/18 = 49 × 7/18 × 7 = 343/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Add the two like fractions:
343/126 + 189/126 = 343 + 189/126 = 532/126 - 532/126 simplified gives 38/9
- So, 49/18 + 21/14 = 38/9
In mixed form: 42/9
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