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

Add 42/54 and 75/42

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

42/54 + 75/42 is 323/126.

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,
75/42 = 75 × 9/42 × 9 = 675/378
Add the two like fractions:
294/378 + 675/378 = 294 + 675/378 = 969/378
969/378 simplified gives 323/126
So, 42/54 + 75/42 = 323/126
In mixed form: 271/126

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