Add 75/27 and 7/49, Solve 2 21/27 + 7/49 as a fraction

Add 75/27 and 7/49

1^st number: 2 21/27, 2^nd number: 7/49

75/27 + 7/49 is 184/63.

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,
75/27 = 75 × 49/27 × 49 = 3675/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
7/49 = 7 × 27/49 × 27 = 189/1323
Add the two like fractions:
3675/1323 + 189/1323 = 3675 + 189/1323 = 3864/1323
3864/1323 simplified gives 184/63
So, 75/27 + 7/49 = 184/63
In mixed form: 258/63

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