Add 36/27 and 75/14, Solve 1 9/27 + 5 5/14 as a fraction

Add 36/27 and 75/14

1^st number: 1 9/27, 2^nd number: 5 5/14

36/27 + 75/14 is 281/42.

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,
36/27 = 36 × 14/27 × 14 = 504/378
Likewise, for the 2nd fraction, since 14 × 27 = 378,
75/14 = 75 × 27/14 × 27 = 2025/378
Add the two like fractions:
504/378 + 2025/378 = 504 + 2025/378 = 2529/378
2529/378 simplified gives 281/42
So, 36/27 + 75/14 = 281/42
In mixed form: 629/42

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