Add 3/42 and 75/27, Solve 3/42 + 2 21/27 as a fraction

Add 3/42 and 75/27

1^st number: 3/42, 2^nd number: 2 21/27

3/42 + 75/27 is 359/126.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
3/42 = 3 × 9/42 × 9 = 27/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378
Add the two like fractions:
27/378 + 1050/378 = 27 + 1050/378 = 1077/378
1077/378 simplified gives 359/126
So, 3/42 + 75/27 = 359/126
In mixed form: 2107/126

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