Add 35/14 and 12/16, Solve 2 7/14 + 12/16 as a fraction

Add 35/14 and 12/16

1^st number: 2 7/14, 2^nd number: 12/16

35/14 + 12/16 is 13/4.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 14 × 8 = 112,
35/14 = 35 × 8/14 × 8 = 280/112
Likewise, for the 2nd fraction, since 16 × 7 = 112,
12/16 = 12 × 7/16 × 7 = 84/112
Add the two like fractions:
280/112 + 84/112 = 280 + 84/112 = 364/112
364/112 simplified gives 13/4
So, 35/14 + 12/16 = 13/4
In mixed form: 31/4

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