Add 49/30 and 35/21
1st number: 1 19/30, 2nd number: 1 14/21
49/30 + 35/21 is 33/10.
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,
35/21 = 35 × 10/21 × 10 = 350/210 - Add the two like fractions:
343/210 + 350/210 = 343 + 350/210 = 693/210 - 693/210 simplified gives 33/10
- So, 49/30 + 35/21 = 33/10
In mixed form: 33/10
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