Add 12/21 and 75/14, Solve 12/21 + 5 5/14 as a fraction

Add 12/21 and 75/14

1^st number: 12/21, 2^nd number: 5 5/14

12/21 + 75/14 is 83/14.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 21 × 2 = 42,
12/21 = 12 × 2/21 × 2 = 24/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42
Add the two like fractions:
24/42 + 225/42 = 24 + 225/42 = 249/42
249/42 simplified gives 83/14
So, 12/21 + 75/14 = 83/14
In mixed form: 513/14

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