Add 80/27 and 49/80, Solve 2 26/27 + 49/80 as a fraction

Add 80/27 and 49/80

1^st number: 2 26/27, 2^nd number: 49/80

80/27 + 49/80 is 7723/2160.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 80 is 2160

Next, find the equivalent fraction of both fractional numbers with denominator 2160
For the 1st fraction, since 27 × 80 = 2160,
80/27 = 80 × 80/27 × 80 = 6400/2160
Likewise, for the 2nd fraction, since 80 × 27 = 2160,
49/80 = 49 × 27/80 × 27 = 1323/2160
Add the two like fractions:
6400/2160 + 1323/2160 = 6400 + 1323/2160 = 7723/2160
So, 80/27 + 49/80 = 7723/2160
In mixed form: 31243/2160

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