Add 60/84 and 48/49
60/84 + 48/49 is 83/49.
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,
60/84 = 60 × 7/84 × 7 = 420/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
48/49 = 48 × 12/49 × 12 = 576/588 - Add the two like fractions:
420/588 + 576/588 = 420 + 576/588 = 996/588 - 996/588 simplified gives 83/49
- So, 60/84 + 48/49 = 83/49
In mixed form: 134/49
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