Add 30/27 and 63/14, Solve 1 3/27 + 4 7/14 as a fraction

Add 30/27 and 63/14

1^st number: 1 3/27, 2^nd number: 4 7/14

30/27 + 63/14 is 101/18.

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,
30/27 = 30 × 14/27 × 14 = 420/378
Likewise, for the 2nd fraction, since 14 × 27 = 378,
63/14 = 63 × 27/14 × 27 = 1701/378
Add the two like fractions:
420/378 + 1701/378 = 420 + 1701/378 = 2121/378
2121/378 simplified gives 101/18
So, 30/27 + 63/14 = 101/18
In mixed form: 511/18

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