Add 24/49 and 98/30, Solve 24/49 + 3 8/30 as a fraction

Add 24/49 and 98/30

1^st number: 24/49, 2^nd number: 3 8/30

24/49 + 98/30 is 2761/735.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1470
For the 1st fraction, since 49 × 30 = 1470,
24/49 = 24 × 30/49 × 30 = 720/1470
Likewise, for the 2nd fraction, since 30 × 49 = 1470,
98/30 = 98 × 49/30 × 49 = 4802/1470
Add the two like fractions:
720/1470 + 4802/1470 = 720 + 4802/1470 = 5522/1470
5522/1470 simplified gives 2761/735
So, 24/49 + 98/30 = 2761/735
In mixed form: 3556/735

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