Add 21/84 and 84/49
1st number: 21/84, 2nd number: 1 35/49
21/84 + 84/49 is 55/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
21/84 = 21 × 7/84 × 7 = 147/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
84/49 = 84 × 12/49 × 12 = 1008/588 - Add the two like fractions:
147/588 + 1008/588 = 147 + 1008/588 = 1155/588 - 1155/588 simplified gives 55/28
- So, 21/84 + 84/49 = 55/28
In mixed form: 127/28
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