Add 12/27 and 75/14, Solve 12/27 + 5 5/14 as a fraction

Add 12/27 and 75/14

1^st number: 12/27, 2^nd number: 5 5/14

12/27 + 75/14 is 731/126.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
12/27 = 12 × 14/27 × 14 = 168/378
Likewise, for the 2nd fraction, since 14 × 27 = 378,
75/14 = 75 × 27/14 × 27 = 2025/378
Add the two like fractions:
168/378 + 2025/378 = 168 + 2025/378 = 2193/378
2193/378 simplified gives 731/126
So, 12/27 + 75/14 = 731/126
In mixed form: 5101/126

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