Add 36/84 and 40/9, Solve 36/84 + 4 4/9 as a fraction

Add 36/84 and 40/9

1^st number: 36/84, 2^nd number: 4 4/9

36/84 + 40/9 is 307/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 84 × 3 = 252,
36/84 = 36 × 3/84 × 3 = 108/252
Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252
Add the two like fractions:
108/252 + 1120/252 = 108 + 1120/252 = 1228/252
1228/252 simplified gives 307/63
So, 36/84 + 40/9 = 307/63
In mixed form: 455/63

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