Add 20/9 and 24/14, Solve 2 2/9 + 1 10/14 as a fraction

Add 20/9 and 24/14

1^st number: 2 2/9, 2^nd number: 1 10/14

20/9 + 24/14 is 248/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
24/14 = 24 × 9/14 × 9 = 216/126
Add the two like fractions:
280/126 + 216/126 = 280 + 216/126 = 496/126
496/126 simplified gives 248/63
So, 20/9 + 24/14 = 248/63
In mixed form: 359/63

MathStep (Works offline)

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