Add 72/27 and 6/49, Solve 2 18/27 + 6/49 as a fraction

Add 72/27 and 6/49

1^st number: 2 18/27, 2^nd number: 6/49

72/27 + 6/49 is 410/147.

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,
72/27 = 72 × 49/27 × 49 = 3528/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
6/49 = 6 × 27/49 × 27 = 162/1323
Add the two like fractions:
3528/1323 + 162/1323 = 3528 + 162/1323 = 3690/1323
3690/1323 simplified gives 410/147
So, 72/27 + 6/49 = 410/147
In mixed form: 2116/147

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