Add 75/12 and 35/14, Solve 6 3/12 + 2 7/14 as a fraction

Add 75/12 and 35/14

1^st number: 6 3/12, 2^nd number: 2 7/14

75/12 + 35/14 is 35/4.

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

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
75/12 = 75 × 7/12 × 7 = 525/84
Likewise, for the 2nd fraction, since 14 × 6 = 84,
35/14 = 35 × 6/14 × 6 = 210/84
Add the two like fractions:
525/84 + 210/84 = 525 + 210/84 = 735/84
735/84 simplified gives 35/4
So, 75/12 + 35/14 = 35/4
In mixed form: 83/4

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