Add 30/8 and 80/27, Solve 3 6/8 + 2 26/27 as a fraction

Add 30/8 and 80/27

1^st number: 3 6/8, 2^nd number: 2 26/27

30/8 + 80/27 is 725/108.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 8 × 27 = 216,
30/8 = 30 × 27/8 × 27 = 810/216
Likewise, for the 2nd fraction, since 27 × 8 = 216,
80/27 = 80 × 8/27 × 8 = 640/216
Add the two like fractions:
810/216 + 640/216 = 810 + 640/216 = 1450/216
1450/216 simplified gives 725/108
So, 30/8 + 80/27 = 725/108
In mixed form: 677/108

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