Add 81/84 and 40/49
81/84 + 40/49 is 349/196.
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,
40/49 = 40 × 12/49 × 12 = 480/588 - Add the two like fractions:
567/588 + 480/588 = 567 + 480/588 = 1047/588 - 1047/588 simplified gives 349/196
- So, 81/84 + 40/49 = 349/196
In mixed form: 1153/196
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