Add 30/27 and 3/49, Solve 1 3/27 + 3/49 as a fraction

Add 30/27 and 3/49

1^st number: 1 3/27, 2^nd number: 3/49

30/27 + 3/49 is 517/441.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
30/27 = 30 × 49/27 × 49 = 1470/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
3/49 = 3 × 27/49 × 27 = 81/1323
Add the two like fractions:
1470/1323 + 81/1323 = 1470 + 81/1323 = 1551/1323
1551/1323 simplified gives 517/441
So, 30/27 + 3/49 = 517/441
In mixed form: 176/441

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