Add 49/15 and 14/21
1st number: 3 4/15, 2nd number: 14/21
49/15 + 14/21 is 59/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 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 21 × 5 = 105,
14/21 = 14 × 5/21 × 5 = 70/105 - Add the two like fractions:
343/105 + 70/105 = 343 + 70/105 = 413/105 - 413/105 simplified gives 59/15
- So, 49/15 + 14/21 = 59/15
In mixed form: 314/15
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