Add 12/8 and 35/21, Solve 1 4/8 + 1 14/21 as a fraction

Add 12/8 and 35/21

1^st number: 1 4/8, 2^nd number: 1 14/21

12/8 + 35/21 is 19/6.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 8 × 21 = 168,
12/8 = 12 × 21/8 × 21 = 252/168
Likewise, for the 2nd fraction, since 21 × 8 = 168,
35/21 = 35 × 8/21 × 8 = 280/168
Add the two like fractions:
252/168 + 280/168 = 252 + 280/168 = 532/168
532/168 simplified gives 19/6
So, 12/8 + 35/21 = 19/6
In mixed form: 31/6

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