Add 35/14 and 21/4, Solve 2 7/14 + 5 1/4 as a fraction

Add 35/14 and 21/4

1^st number: 2 7/14, 2^nd number: 5 1/4

35/14 + 21/4 is 31/4.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 14 × 2 = 28,
35/14 = 35 × 2/14 × 2 = 70/28
Likewise, for the 2nd fraction, since 4 × 7 = 28,
21/4 = 21 × 7/4 × 7 = 147/28
Add the two like fractions:
70/28 + 147/28 = 70 + 147/28 = 217/28
217/28 simplified gives 31/4
So, 35/14 + 21/4 = 31/4
In mixed form: 73/4

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