Add 84/35 and 21/49
1st number: 2 14/35, 2nd number: 21/49
84/35 + 21/49 is 99/35.
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,
21/49 = 21 × 5/49 × 5 = 105/245 - Add the two like fractions:
588/245 + 105/245 = 588 + 105/245 = 693/245 - 693/245 simplified gives 99/35
- So, 84/35 + 21/49 = 99/35
In mixed form: 229/35
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