Add 30/21 and 40/49
1st number: 1 9/21, 2nd number: 40/49
30/21 + 40/49 is 110/49.
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,
30/21 = 30 × 7/21 × 7 = 210/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
40/49 = 40 × 3/49 × 3 = 120/147 - Add the two like fractions:
210/147 + 120/147 = 210 + 120/147 = 330/147 - 330/147 simplified gives 110/49
- So, 30/21 + 40/49 = 110/49
In mixed form: 212/49
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