Add 49/14 and 5/9, Solve 3 7/14 + 5/9 as a fraction

Add 49/14 and 5/9

1^st number: 3 7/14, 2^nd number: 5/9

49/14 + 5/9 is 73/18.

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,
5/9 = 5 × 14/9 × 14 = 70/126
Add the two like fractions:
441/126 + 70/126 = 441 + 70/126 = 511/126
511/126 simplified gives 73/18
So, 49/14 + 5/9 = 73/18
In mixed form: 41/18

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad