Add 45/2 and 75/21, Solve 22 1/2 + 3 12/21 as a fraction

Add 45/2 and 75/21

1^st number: 22 1/2, 2^nd number: 3 12/21

45/2 + 75/21 is 365/14.

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,
45/2 = 45 × 21/2 × 21 = 945/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42
Add the two like fractions:
945/42 + 150/42 = 945 + 150/42 = 1095/42
1095/42 simplified gives 365/14
So, 45/2 + 75/21 = 365/14
In mixed form: 261/14

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