Add 49/15 and 28/21
1st number: 3 4/15, 2nd number: 1 7/21
49/15 + 28/21 is 23/5.
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,
28/21 = 28 × 5/21 × 5 = 140/105 - Add the two like fractions:
343/105 + 140/105 = 343 + 140/105 = 483/105 - 483/105 simplified gives 23/5
- So, 49/15 + 28/21 = 23/5
In mixed form: 43/5
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