Add 30/12 and 42/8, Solve 2 6/12 + 5 2/8 as a fraction

Add 30/12 and 42/8

1^st number: 2 6/12, 2^nd number: 5 2/8

30/12 + 42/8 is 31/4.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 8 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 12 × 2 = 24,
30/12 = 30 × 2/12 × 2 = 60/24
Likewise, for the 2nd fraction, since 8 × 3 = 24,
42/8 = 42 × 3/8 × 3 = 126/24
Add the two like fractions:
60/24 + 126/24 = 60 + 126/24 = 186/24
186/24 simplified gives 31/4
So, 30/12 + 42/8 = 31/4
In mixed form: 73/4

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