Add 28/9 and 98/42, Solve 3 1/9 + 2 14/42 as a fraction

Add 28/9 and 98/42

1^st number: 3 1/9, 2^nd number: 2 14/42

28/9 + 98/42 is 49/9.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
28/9 = 28 × 14/9 × 14 = 392/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
98/42 = 98 × 3/42 × 3 = 294/126
Add the two like fractions:
392/126 + 294/126 = 392 + 294/126 = 686/126
686/126 simplified gives 49/9
So, 28/9 + 98/42 = 49/9
In mixed form: 54/9

MathStep (Works offline)

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