Add 36/14 and 75/21, Solve 2 8/14 + 3 12/21 as a fraction

Add 36/14 and 75/21

1^st number: 2 8/14, 2^nd number: 3 12/21

36/14 + 75/21 is 43/7.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
36/14 = 36 × 3/14 × 3 = 108/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42
Add the two like fractions:
108/42 + 150/42 = 108 + 150/42 = 258/42
258/42 simplified gives 43/7
So, 36/14 + 75/21 = 43/7
In mixed form: 61/7

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