Add 75/42 and 45/54, Solve 1 33/42 + 45/54 as a fraction

Add 75/42 and 45/54

1^st number: 1 33/42, 2^nd number: 45/54

75/42 + 45/54 is 55/21.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378
Add the two like fractions:
675/378 + 315/378 = 675 + 315/378 = 990/378
990/378 simplified gives 55/21
So, 75/42 + 45/54 = 55/21
In mixed form: 213/21

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