Add 9/2 and 30/21, Solve 4 1/2 + 1 9/21 as a fraction

Add 9/2 and 30/21

1^st number: 4 1/2, 2^nd number: 1 9/21

9/2 + 30/21 is 83/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 2 × 21 = 42,
9/2 = 9 × 21/2 × 21 = 189/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42
Add the two like fractions:
189/42 + 60/42 = 189 + 60/42 = 249/42
249/42 simplified gives 83/14
So, 9/2 + 30/21 = 83/14
In mixed form: 513/14

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