Add 27/2 and 45/42, Solve 13 1/2 + 1 3/42 as a fraction

Add 27/2 and 45/42

1^st number: 13 1/2, 2^nd number: 1 3/42

27/2 + 45/42 is 102/7.

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,
27/2 = 27 × 21/2 × 21 = 567/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
45/42 = 45 × 1/42 × 1 = 45/42
Add the two like fractions:
567/42 + 45/42 = 567 + 45/42 = 612/42
612/42 simplified gives 102/7
So, 27/2 + 45/42 = 102/7
In mixed form: 144/7

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