Add 45/2 and 75/42, Solve 22 1/2 + 1 33/42 as a fraction

Add 45/2 and 75/42

1^st number: 22 1/2, 2^nd number: 1 33/42

45/2 + 75/42 is 170/7.

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,
45/2 = 45 × 21/2 × 21 = 945/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
75/42 = 75 × 1/42 × 1 = 75/42
Add the two like fractions:
945/42 + 75/42 = 945 + 75/42 = 1020/42
1020/42 simplified gives 170/7
So, 45/2 + 75/42 = 170/7
In mixed form: 242/7

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