Add 28/30 and 63/49, Solve 28/30 + 1 14/49 as a fraction

Add 28/30 and 63/49

1^st number: 28/30, 2^nd number: 1 14/49

28/30 + 63/49 is 233/105.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 30 × 49 = 1470,
28/30 = 28 × 49/30 × 49 = 1372/1470
Likewise, for the 2nd fraction, since 49 × 30 = 1470,
63/49 = 63 × 30/49 × 30 = 1890/1470
Add the two like fractions:
1372/1470 + 1890/1470 = 1372 + 1890/1470 = 3262/1470
3262/1470 simplified gives 233/105
So, 28/30 + 63/49 = 233/105
In mixed form: 223/105

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