Add 45/18 and 27/42, Solve 2 9/18 + 27/42 as a fraction

Add 45/18 and 27/42

1^st number: 2 9/18, 2^nd number: 27/42

45/18 + 27/42 is 22/7.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
45/18 = 45 × 7/18 × 7 = 315/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
27/42 = 27 × 3/42 × 3 = 81/126
Add the two like fractions:
315/126 + 81/126 = 315 + 81/126 = 396/126
396/126 simplified gives 22/7
So, 45/18 + 27/42 = 22/7
In mixed form: 31/7

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