Add 81/84 and 20/49
81/84 + 20/49 is 269/196.
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,
81/84 = 81 × 7/84 × 7 = 567/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
20/49 = 20 × 12/49 × 12 = 240/588 - Add the two like fractions:
567/588 + 240/588 = 567 + 240/588 = 807/588 - 807/588 simplified gives 269/196
- So, 81/84 + 20/49 = 269/196
In mixed form: 173/196
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