Add 49/30 and 14/21
1st number: 1 19/30, 2nd number: 14/21
49/30 + 14/21 is 23/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 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 21 × 10 = 210,
14/21 = 14 × 10/21 × 10 = 140/210 - Add the two like fractions:
343/210 + 140/210 = 343 + 140/210 = 483/210 - 483/210 simplified gives 23/10
- So, 49/30 + 14/21 = 23/10
In mixed form: 23/10
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