Add 42/54 and 90/42, Solve 42/54 + 2 6/42 as a fraction

Add 42/54 and 90/42

1^st number: 42/54, 2^nd number: 2 6/42

42/54 + 90/42 is 184/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
90/42 = 90 × 9/42 × 9 = 810/378
Add the two like fractions:
294/378 + 810/378 = 294 + 810/378 = 1104/378
1104/378 simplified gives 184/63
So, 42/54 + 90/42 = 184/63
In mixed form: 258/63

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