Add 7/2 and 30/32, Solve 3 1/2 + 30/32 as a fraction

Add 7/2 and 30/32

1^st number: 3 1/2, 2^nd number: 30/32

7/2 + 30/32 is 71/16.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 32 is 32

Next, find the equivalent fraction of both fractional numbers with denominator 32
For the 1st fraction, since 2 × 16 = 32,
7/2 = 7 × 16/2 × 16 = 112/32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
30/32 = 30 × 1/32 × 1 = 30/32
Add the two like fractions:
112/32 + 30/32 = 112 + 30/32 = 142/32
142/32 simplified gives 71/16
So, 7/2 + 30/32 = 71/16
In mixed form: 47/16

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