Add 2/3 and 35/49
2/3 + 35/49 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
2/3 = 2 × 49/3 × 49 = 98/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
35/49 = 35 × 3/49 × 3 = 105/147 - Add the two like fractions:
98/147 + 105/147 = 98 + 105/147 = 203/147 - 203/147 simplified gives 29/21
- So, 2/3 + 35/49 = 29/21
In mixed form: 18/21
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