Add 21/10 and 35/49
1st number: 2 1/10, 2nd number: 35/49
21/10 + 35/49 is 197/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
21/10 = 21 × 49/10 × 49 = 1029/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
35/49 = 35 × 10/49 × 10 = 350/490 - Add the two like fractions:
1029/490 + 350/490 = 1029 + 350/490 = 1379/490 - 1379/490 simplified gives 197/70
- So, 21/10 + 35/49 = 197/70
In mixed form: 257/70
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