Add 21/12 and 30/49
1st number: 1 9/12, 2nd number: 30/49
21/12 + 30/49 is 463/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
21/12 = 21 × 49/12 × 49 = 1029/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
30/49 = 30 × 12/49 × 12 = 360/588 - Add the two like fractions:
1029/588 + 360/588 = 1029 + 360/588 = 1389/588 - 1389/588 simplified gives 463/196
- So, 21/12 + 30/49 = 463/196
In mixed form: 271/196
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