Add 4/27 and 49/42, Solve 4/27 + 1 7/42 as a fraction

Add 4/27 and 49/42

1^st number: 4/27, 2^nd number: 1 7/42

4/27 + 49/42 is 71/54.

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,
4/27 = 4 × 14/27 × 14 = 56/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
49/42 = 49 × 9/42 × 9 = 441/378
Add the two like fractions:
56/378 + 441/378 = 56 + 441/378 = 497/378
497/378 simplified gives 71/54
So, 4/27 + 49/42 = 71/54
In mixed form: 117/54

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