Add 30/8 and 30/32, Solve 3 6/8 + 30/32 as a fraction

Add 30/8 and 30/32

1^st number: 3 6/8, 2^nd number: 30/32

30/8 + 30/32 is 75/16.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32

Next, find the equivalent fraction of both fractional numbers with denominator 32
For the 1st fraction, since 8 × 4 = 32,
30/8 = 30 × 4/8 × 4 = 120/32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
30/32 = 30 × 1/32 × 1 = 30/32
Add the two like fractions:
120/32 + 30/32 = 120 + 30/32 = 150/32
150/32 simplified gives 75/16
So, 30/8 + 30/32 = 75/16
In mixed form: 411/16

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