Add 36/42 and 21/8, Solve 36/42 + 2 5/8 as a fraction

Add 36/42 and 21/8

1^st number: 36/42, 2^nd number: 2 5/8

36/42 + 21/8 is 195/56.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 42 × 4 = 168,
36/42 = 36 × 4/42 × 4 = 144/168
Likewise, for the 2nd fraction, since 8 × 21 = 168,
21/8 = 21 × 21/8 × 21 = 441/168
Add the two like fractions:
144/168 + 441/168 = 144 + 441/168 = 585/168
585/168 simplified gives 195/56
So, 36/42 + 21/8 = 195/56
In mixed form: 327/56

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