Add 49/30 and 5/14
1st number: 1 19/30, 2nd number: 5/14
49/30 + 5/14 is 209/105.
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,
5/14 = 5 × 15/14 × 15 = 75/210 - Add the two like fractions:
343/210 + 75/210 = 343 + 75/210 = 418/210 - 418/210 simplified gives 209/105
- So, 49/30 + 5/14 = 209/105
In mixed form: 1104/105
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