Add 49/18 and 14/21
1st number: 2 13/18, 2nd number: 14/21
49/18 + 14/21 is 61/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 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 21 × 6 = 126,
14/21 = 14 × 6/21 × 6 = 84/126 - Add the two like fractions:
343/126 + 84/126 = 343 + 84/126 = 427/126 - 427/126 simplified gives 61/18
- So, 49/18 + 14/21 = 61/18
In mixed form: 37/18
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