Add 4/14 and 75/27, Solve 4/14 + 2 21/27 as a fraction

Add 4/14 and 75/27

1^st number: 4/14, 2^nd number: 2 21/27

4/14 + 75/27 is 193/63.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
4/14 = 4 × 27/14 × 27 = 108/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378
Add the two like fractions:
108/378 + 1050/378 = 108 + 1050/378 = 1158/378
1158/378 simplified gives 193/63
So, 4/14 + 75/27 = 193/63
In mixed form: 34/63

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