Add 49/21 and 24/27, Solve 2 7/21 + 24/27 as a fraction

Add 49/21 and 24/27

1^st number: 2 7/21, 2^nd number: 24/27

49/21 + 24/27 is 29/9.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
49/21 = 49 × 9/21 × 9 = 441/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
24/27 = 24 × 7/27 × 7 = 168/189
Add the two like fractions:
441/189 + 168/189 = 441 + 168/189 = 609/189
609/189 simplified gives 29/9
So, 49/21 + 24/27 = 29/9
In mixed form: 32/9

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