Add 7/2 and 21/28, Solve 3 1/2 + 21/28 as a fraction

Add 7/2 and 21/28

1^st number: 3 1/2, 2^nd number: 21/28

7/2 + 21/28 is 17/4.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 28 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 2 × 14 = 28,
7/2 = 7 × 14/2 × 14 = 98/28
Likewise, for the 2nd fraction, since 28 × 1 = 28,
21/28 = 21 × 1/28 × 1 = 21/28
Add the two like fractions:
98/28 + 21/28 = 98 + 21/28 = 119/28
119/28 simplified gives 17/4
So, 7/2 + 21/28 = 17/4
In mixed form: 41/4

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