Add 49/14 and 4/9, Solve 3 7/14 + 4/9 as a fraction

Add 49/14 and 4/9

1^st number: 3 7/14, 2^nd number: 4/9

49/14 + 4/9 is 71/18.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
49/14 = 49 × 9/14 × 9 = 441/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
4/9 = 4 × 14/9 × 14 = 56/126
Add the two like fractions:
441/126 + 56/126 = 441 + 56/126 = 497/126
497/126 simplified gives 71/18
So, 49/14 + 4/9 = 71/18
In mixed form: 317/18

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