Add 72/84 and 30/49
72/84 + 30/49 is 72/49.
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,
72/84 = 72 × 7/84 × 7 = 504/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
30/49 = 30 × 12/49 × 12 = 360/588 - Add the two like fractions:
504/588 + 360/588 = 504 + 360/588 = 864/588 - 864/588 simplified gives 72/49
- So, 72/84 + 30/49 = 72/49
In mixed form: 123/49
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