Add 30/14 and 96/49, Solve 2 2/14 + 1 47/49 as a fraction

Add 30/14 and 96/49

1^st number: 2 2/14, 2^nd number: 1 47/49

30/14 + 96/49 is 201/49.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 14 × 7 = 98,
30/14 = 30 × 7/14 × 7 = 210/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
96/49 = 96 × 2/49 × 2 = 192/98
Add the two like fractions:
210/98 + 192/98 = 210 + 192/98 = 402/98
402/98 simplified gives 201/49
So, 30/14 + 96/49 = 201/49
In mixed form: 45/49

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