Add 27/12 and 30/49, Solve 2 3/12 + 30/49 as a fraction

Add 27/12 and 30/49

1^st number: 2 3/12, 2^nd number: 30/49

27/12 + 30/49 is 561/196.

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,
27/12 = 27 × 49/12 × 49 = 1323/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
30/49 = 30 × 12/49 × 12 = 360/588
Add the two like fractions:
1323/588 + 360/588 = 1323 + 360/588 = 1683/588
1683/588 simplified gives 561/196
So, 27/12 + 30/49 = 561/196
In mixed form: 2169/196

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