Add 35/14 and 49/24
1st number: 2 7/14, 2nd number: 2 1/24
35/14 + 49/24 is 109/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
35/14 = 35 × 12/14 × 12 = 420/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
49/24 = 49 × 7/24 × 7 = 343/168 - Add the two like fractions:
420/168 + 343/168 = 420 + 343/168 = 763/168 - 763/168 simplified gives 109/24
- So, 35/14 + 49/24 = 109/24
In mixed form: 413/24
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