Add 60/84 and 30/49
60/84 + 30/49 is 65/49.
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,
30/49 = 30 × 12/49 × 12 = 360/588 - Add the two like fractions:
420/588 + 360/588 = 420 + 360/588 = 780/588 - 780/588 simplified gives 65/49
- So, 60/84 + 30/49 = 65/49
In mixed form: 116/49
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