Add 5/2 and 30/42, Solve 2 1/2 + 30/42 as a fraction

Add 5/2 and 30/42

1^st number: 2 1/2, 2^nd number: 30/42

5/2 + 30/42 is 45/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 2 × 21 = 42,
5/2 = 5 × 21/2 × 21 = 105/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42
Add the two like fractions:
105/42 + 30/42 = 105 + 30/42 = 135/42
135/42 simplified gives 45/14
So, 5/2 + 30/42 = 45/14
In mixed form: 33/14

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