Add 2/49 and 30/16, Solve 2/49 + 1 14/16 as a fraction

Add 2/49 and 30/16

1^st number: 2/49, 2^nd number: 1 14/16

2/49 + 30/16 is 751/392.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784

Next, find the equivalent fraction of both fractional numbers with denominator 784
For the 1st fraction, since 49 × 16 = 784,
2/49 = 2 × 16/49 × 16 = 32/784
Likewise, for the 2nd fraction, since 16 × 49 = 784,
30/16 = 30 × 49/16 × 49 = 1470/784
Add the two like fractions:
32/784 + 1470/784 = 32 + 1470/784 = 1502/784
1502/784 simplified gives 751/392
So, 2/49 + 30/16 = 751/392
In mixed form: 1359/392

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