Add 49/30 and 27/14
1st number: 1 19/30, 2nd number: 1 13/14
49/30 + 27/14 is 374/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
49/30 = 49 × 7/30 × 7 = 343/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
27/14 = 27 × 15/14 × 15 = 405/210 - Add the two like fractions:
343/210 + 405/210 = 343 + 405/210 = 748/210 - 748/210 simplified gives 374/105
- So, 49/30 + 27/14 = 374/105
In mixed form: 359/105
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