Add 15/14 and 49/30
1st number: 1 1/14, 2nd number: 1 19/30
15/14 + 49/30 is 284/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
15/14 = 15 × 15/14 × 15 = 225/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210 - Add the two like fractions:
225/210 + 343/210 = 225 + 343/210 = 568/210 - 568/210 simplified gives 284/105
- So, 15/14 + 49/30 = 284/105
In mixed form: 274/105
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