Add 30/84 and 7/49
30/84 + 7/49 is 1/2.
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,
30/84 = 30 × 7/84 × 7 = 210/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
7/49 = 7 × 12/49 × 12 = 84/588 - Add the two like fractions:
210/588 + 84/588 = 210 + 84/588 = 294/588 - 294/588 simplified gives 1/2
- So, 30/84 + 7/49 = 1/2
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