Add 28/49 and 63/27, Solve 28/49 + 2 9/27 as a fraction

Add 28/49 and 63/27

1^st number: 28/49, 2^nd number: 2 9/27

28/49 + 63/27 is 61/21.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 49 × 27 = 1323,
28/49 = 28 × 27/49 × 27 = 756/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
63/27 = 63 × 49/27 × 49 = 3087/1323
Add the two like fractions:
756/1323 + 3087/1323 = 756 + 3087/1323 = 3843/1323
3843/1323 simplified gives 61/21
So, 28/49 + 63/27 = 61/21
In mixed form: 219/21

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