Add 20/30 and 63/49, Solve 20/30 + 1 14/49 as a fraction

Add 20/30 and 63/49

1^st number: 20/30, 2^nd number: 1 14/49

20/30 + 63/49 is 41/21.

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,
20/30 = 20 × 49/30 × 49 = 980/1470
Likewise, for the 2nd fraction, since 49 × 30 = 1470,
63/49 = 63 × 30/49 × 30 = 1890/1470
Add the two like fractions:
980/1470 + 1890/1470 = 980 + 1890/1470 = 2870/1470
2870/1470 simplified gives 41/21
So, 20/30 + 63/49 = 41/21
In mixed form: 120/21

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