Add 35/49 and 49/70
35/49 + 49/70 is 99/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 70 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 49 × 10 = 490,
35/49 = 35 × 10/49 × 10 = 350/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
49/70 = 49 × 7/70 × 7 = 343/490 - Add the two like fractions:
350/490 + 343/490 = 350 + 343/490 = 693/490 - 693/490 simplified gives 99/70
- So, 35/49 + 49/70 = 99/70
In mixed form: 129/70
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