Add 54/84 and 24/49
54/84 + 24/49 is 111/98.
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,
54/84 = 54 × 7/84 × 7 = 378/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
24/49 = 24 × 12/49 × 12 = 288/588 - Add the two like fractions:
378/588 + 288/588 = 378 + 288/588 = 666/588 - 666/588 simplified gives 111/98
- So, 54/84 + 24/49 = 111/98
In mixed form: 113/98
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