Add 63/14 and 35/12, Solve 4 7/14 + 2 11/12 as a fraction

Add 63/14 and 35/12

1^st number: 4 7/14, 2^nd number: 2 11/12

63/14 + 35/12 is 89/12.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 12 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 14 × 6 = 84,
63/14 = 63 × 6/14 × 6 = 378/84
Likewise, for the 2nd fraction, since 12 × 7 = 84,
35/12 = 35 × 7/12 × 7 = 245/84
Add the two like fractions:
378/84 + 245/84 = 378 + 245/84 = 623/84
623/84 simplified gives 89/12
So, 63/14 + 35/12 = 89/12
In mixed form: 75/12

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