Add 12/21 and 40/49
12/21 + 40/49 is 68/49.
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,
12/21 = 12 × 7/21 × 7 = 84/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
40/49 = 40 × 3/49 × 3 = 120/147 - Add the two like fractions:
84/147 + 120/147 = 84 + 120/147 = 204/147 - 204/147 simplified gives 68/49
- So, 12/21 + 40/49 = 68/49
In mixed form: 119/49
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