Add 49/14 and 40/27, Solve 3 7/14 + 1 13/27 as a fraction

Add 49/14 and 40/27

1^st number: 3 7/14, 2^nd number: 1 13/27

49/14 + 40/27 is 269/54.

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,
49/14 = 49 × 27/14 × 27 = 1323/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378
Add the two like fractions:
1323/378 + 560/378 = 1323 + 560/378 = 1883/378
1883/378 simplified gives 269/54
So, 49/14 + 40/27 = 269/54
In mixed form: 453/54

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