Add 32/14 and 49/9, Solve 2 4/14 + 5 4/9 as a fraction

Add 32/14 and 49/9

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

32/14 + 49/9 is 487/63.

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,
32/14 = 32 × 9/14 × 9 = 288/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
49/9 = 49 × 14/9 × 14 = 686/126
Add the two like fractions:
288/126 + 686/126 = 288 + 686/126 = 974/126
974/126 simplified gives 487/63
So, 32/14 + 49/9 = 487/63
In mixed form: 746/63

MathStep (Works offline)

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