Add 7/15 and 28/49
7/15 + 28/49 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
7/15 = 7 × 49/15 × 49 = 343/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
28/49 = 28 × 15/49 × 15 = 420/735 - Add the two like fractions:
343/735 + 420/735 = 343 + 420/735 = 763/735 - 763/735 simplified gives 109/105
- So, 7/15 + 28/49 = 109/105
In mixed form: 14/105
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