Add 7/14 and 49/9, Solve 7/14 + 5 4/9 as a fraction

Add 7/14 and 49/9

1^st number: 7/14, 2^nd number: 5 4/9

7/14 + 49/9 is 107/18.

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,
7/14 = 7 × 9/14 × 9 = 63/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
49/9 = 49 × 14/9 × 14 = 686/126
Add the two like fractions:
63/126 + 686/126 = 63 + 686/126 = 749/126
749/126 simplified gives 107/18
So, 7/14 + 49/9 = 107/18
In mixed form: 517/18

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