Add 21/35 and 84/49
1st number: 21/35, 2nd number: 1 35/49
21/35 + 84/49 is 81/35.
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,
21/35 = 21 × 7/35 × 7 = 147/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
84/49 = 84 × 5/49 × 5 = 420/245 - Add the two like fractions:
147/245 + 420/245 = 147 + 420/245 = 567/245 - 567/245 simplified gives 81/35
- So, 21/35 + 84/49 = 81/35
In mixed form: 211/35
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