Add 84/35 and 70/49
1st number: 2 14/35, 2nd number: 1 21/49
84/35 + 70/49 is 134/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
84/35 = 84 × 7/35 × 7 = 588/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
70/49 = 70 × 5/49 × 5 = 350/245 - Add the two like fractions:
588/245 + 350/245 = 588 + 350/245 = 938/245 - 938/245 simplified gives 134/35
- So, 84/35 + 70/49 = 134/35
In mixed form: 329/35
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