Add 49/14 and 30/24
1st number: 3 7/14, 2nd number: 1 6/24
49/14 + 30/24 is 19/4.
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,
49/14 = 49 × 12/14 × 12 = 588/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
30/24 = 30 × 7/24 × 7 = 210/168 - Add the two like fractions:
588/168 + 210/168 = 588 + 210/168 = 798/168 - 798/168 simplified gives 19/4
- So, 49/14 + 30/24 = 19/4
In mixed form: 43/4
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