Add 80/9 and 45/84, Solve 8 8/9 + 45/84 as a fraction

Add 80/9 and 45/84

1^st number: 8 8/9, 2^nd number: 45/84

80/9 + 45/84 is 2375/252.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
80/9 = 80 × 28/9 × 28 = 2240/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
45/84 = 45 × 3/84 × 3 = 135/252
Add the two like fractions:
2240/252 + 135/252 = 2240 + 135/252 = 2375/252
So, 80/9 + 45/84 = 2375/252
In mixed form: 9107/252

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