Add 21/49 and 84/27, Solve 21/49 + 3 3/27 as a fraction

Add 21/49 and 84/27

1^st number: 21/49, 2^nd number: 3 3/27

21/49 + 84/27 is 223/63.

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,
21/49 = 21 × 27/49 × 27 = 567/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
84/27 = 84 × 49/27 × 49 = 4116/1323
Add the two like fractions:
567/1323 + 4116/1323 = 567 + 4116/1323 = 4683/1323
4683/1323 simplified gives 223/63
So, 21/49 + 84/27 = 223/63
In mixed form: 334/63

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