Add 9/2 and 45/21, Solve 4 1/2 + 2 3/21 as a fraction

Add 9/2 and 45/21

1^st number: 4 1/2, 2^nd number: 2 3/21

9/2 + 45/21 is 93/14.

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,
45/21 = 45 × 2/21 × 2 = 90/42
Add the two like fractions:
189/42 + 90/42 = 189 + 90/42 = 279/42
279/42 simplified gives 93/14
So, 9/2 + 45/21 = 93/14
In mixed form: 69/14

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