Add 40/21 and 84/49
1st number: 1 19/21, 2nd number: 1 35/49
40/21 + 84/49 is 76/21.
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,
40/21 = 40 × 7/21 × 7 = 280/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
84/49 = 84 × 3/49 × 3 = 252/147 - Add the two like fractions:
280/147 + 252/147 = 280 + 252/147 = 532/147 - 532/147 simplified gives 76/21
- So, 40/21 + 84/49 = 76/21
In mixed form: 313/21
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