Add 35/14 and 21/12, Solve 2 7/14 + 1 9/12 as a fraction

Add 35/14 and 21/12

1^st number: 2 7/14, 2^nd number: 1 9/12

35/14 + 21/12 is 17/4.

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,
35/14 = 35 × 6/14 × 6 = 210/84
Likewise, for the 2nd fraction, since 12 × 7 = 84,
21/12 = 21 × 7/12 × 7 = 147/84
Add the two like fractions:
210/84 + 147/84 = 210 + 147/84 = 357/84
357/84 simplified gives 17/4
So, 35/14 + 21/12 = 17/4
In mixed form: 41/4

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