Add 35/14 and 24/27, Solve 2 7/14 + 24/27 as a fraction

Add 35/14 and 24/27

1^st number: 2 7/14, 2^nd number: 24/27

35/14 + 24/27 is 61/18.

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,
35/14 = 35 × 27/14 × 27 = 945/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
24/27 = 24 × 14/27 × 14 = 336/378
Add the two like fractions:
945/378 + 336/378 = 945 + 336/378 = 1281/378
1281/378 simplified gives 61/18
So, 35/14 + 24/27 = 61/18
In mixed form: 37/18

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