Add 27/42 and 45/4, Solve 27/42 + 11 1/4 as a fraction

Add 27/42 and 45/4

1^st number: 27/42, 2^nd number: 11 1/4

27/42 + 45/4 is 333/28.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 42 × 2 = 84,
27/42 = 27 × 2/42 × 2 = 54/84
Likewise, for the 2nd fraction, since 4 × 21 = 84,
45/4 = 45 × 21/4 × 21 = 945/84
Add the two like fractions:
54/84 + 945/84 = 54 + 945/84 = 999/84
999/84 simplified gives 333/28
So, 27/42 + 45/4 = 333/28
In mixed form: 1125/28

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