Add 40/9 and 21/84, Solve 4 4/9 + 21/84 as a fraction

Add 40/9 and 21/84

1^st number: 4 4/9, 2^nd number: 21/84

40/9 + 21/84 is 169/36.

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,
40/9 = 40 × 28/9 × 28 = 1120/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
21/84 = 21 × 3/84 × 3 = 63/252
Add the two like fractions:
1120/252 + 63/252 = 1120 + 63/252 = 1183/252
1183/252 simplified gives 169/36
So, 40/9 + 21/84 = 169/36
In mixed form: 425/36

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