Add 30/84 and 84/8, Solve 30/84 + 10 4/8 as a fraction

Add 30/84 and 84/8

1^st number: 30/84, 2^nd number: 10 4/8

30/84 + 84/8 is 76/7.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 8 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 84 × 2 = 168,
30/84 = 30 × 2/84 × 2 = 60/168
Likewise, for the 2nd fraction, since 8 × 21 = 168,
84/8 = 84 × 21/8 × 21 = 1764/168
Add the two like fractions:
60/168 + 1764/168 = 60 + 1764/168 = 1824/168
1824/168 simplified gives 76/7
So, 30/84 + 84/8 = 76/7
In mixed form: 106/7

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