Add 40/21 and 70/49
1st number: 1 19/21, 2nd number: 1 21/49
40/21 + 70/49 is 10/3.
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,
70/49 = 70 × 3/49 × 3 = 210/147 - Add the two like fractions:
280/147 + 210/147 = 280 + 210/147 = 490/147 - 490/147 simplified gives 10/3
- So, 40/21 + 70/49 = 10/3
In mixed form: 31/3
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