Add 30/27 and 9/49, Solve 1 3/27 + 9/49 as a fraction

Add 30/27 and 9/49

1^st number: 1 3/27, 2^nd number: 9/49

30/27 + 9/49 is 571/441.

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,
9/49 = 9 × 27/49 × 27 = 243/1323
Add the two like fractions:
1470/1323 + 243/1323 = 1470 + 243/1323 = 1713/1323
1713/1323 simplified gives 571/441
So, 30/27 + 9/49 = 571/441
In mixed form: 1130/441

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