Add 16/27 and 45/49, Solve 16/27 + 45/49 as a fraction

Add 16/27 and 45/49

16/27 + 45/49 is 1999/1323.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
16/27 = 16 × 49/27 × 49 = 784/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
45/49 = 45 × 27/49 × 27 = 1215/1323
Add the two like fractions:
784/1323 + 1215/1323 = 784 + 1215/1323 = 1999/1323
So, 16/27 + 45/49 = 1999/1323
In mixed form: 1676/1323

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