Add 8/5 and 30/84, Solve 1 3/5 + 30/84 as a fraction

Add 8/5 and 30/84

1^st number: 1 3/5, 2^nd number: 30/84

8/5 + 30/84 is 137/70.

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,
8/5 = 8 × 84/5 × 84 = 672/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420
Add the two like fractions:
672/420 + 150/420 = 672 + 150/420 = 822/420
822/420 simplified gives 137/70
So, 8/5 + 30/84 = 137/70
In mixed form: 167/70

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