Add 30/84 and 54/49
1st number: 30/84, 2nd number: 1 5/49
30/84 + 54/49 is 143/98.
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,
30/84 = 30 × 7/84 × 7 = 210/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
54/49 = 54 × 12/49 × 12 = 648/588 - Add the two like fractions:
210/588 + 648/588 = 210 + 648/588 = 858/588 - 858/588 simplified gives 143/98
- So, 30/84 + 54/49 = 143/98
In mixed form: 145/98
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