Add 8/27 and 63/42, Solve 8/27 + 1 21/42 as a fraction

Add 8/27 and 63/42

1^st number: 8/27, 2^nd number: 1 21/42

8/27 + 63/42 is 97/54.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
8/27 = 8 × 14/27 × 14 = 112/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
63/42 = 63 × 9/42 × 9 = 567/378
Add the two like fractions:
112/378 + 567/378 = 112 + 567/378 = 679/378
679/378 simplified gives 97/54
So, 8/27 + 63/42 = 97/54
In mixed form: 143/54

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