Add 49/15 and 28/7
1st number: 3 4/15, 2nd number: 4 0/7
49/15 + 28/7 is 109/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 7 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
49/15 = 49 × 7/15 × 7 = 343/105 - Likewise, for the 2nd fraction, since 7 × 15 = 105,
28/7 = 28 × 15/7 × 15 = 420/105 - Add the two like fractions:
343/105 + 420/105 = 343 + 420/105 = 763/105 - 763/105 simplified gives 109/15
- So, 49/15 + 28/7 = 109/15
In mixed form: 74/15
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