Add 12/5 and 28/84, Solve 2 2/5 + 28/84 as a fraction

Add 12/5 and 28/84

1^st number: 2 2/5, 2^nd number: 28/84

12/5 + 28/84 is 41/15.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 5 × 84 = 420,
12/5 = 12 × 84/5 × 84 = 1008/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
28/84 = 28 × 5/84 × 5 = 140/420
Add the two like fractions:
1008/420 + 140/420 = 1008 + 140/420 = 1148/420
1148/420 simplified gives 41/15
So, 12/5 + 28/84 = 41/15
In mixed form: 211/15

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