Add 35/21 and 21/49
1st number: 1 14/21, 2nd number: 21/49
35/21 + 21/49 is 44/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
35/21 = 35 × 7/21 × 7 = 245/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
21/49 = 21 × 3/49 × 3 = 63/147 - Add the two like fractions:
245/147 + 63/147 = 245 + 63/147 = 308/147 - 308/147 simplified gives 44/21
- So, 35/21 + 21/49 = 44/21
In mixed form: 22/21
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