Add 35/21 and 49/14
1st number: 1 14/21, 2nd number: 3 7/14
35/21 + 49/14 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
49/14 = 49 × 3/14 × 3 = 147/42 - Add the two like fractions:
70/42 + 147/42 = 70 + 147/42 = 217/42 - 217/42 simplified gives 31/6
- So, 35/21 + 49/14 = 31/6
In mixed form: 51/6
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