Add 21/49 and 70/27, Solve 21/49 + 2 16/27 as a fraction

Add 21/49 and 70/27

1^st number: 21/49, 2^nd number: 2 16/27

21/49 + 70/27 is 571/189.

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,
70/27 = 70 × 49/27 × 49 = 3430/1323
Add the two like fractions:
567/1323 + 3430/1323 = 567 + 3430/1323 = 3997/1323
3997/1323 simplified gives 571/189
So, 21/49 + 70/27 = 571/189
In mixed form: 34/189

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