Add 2/3 and 54/28, Solve 2/3 + 1 26/28 as a fraction

Add 2/3 and 54/28

1^st number: 2/3, 2^nd number: 1 26/28

2/3 + 54/28 is 109/42.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 28 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 3 × 28 = 84,
2/3 = 2 × 28/3 × 28 = 56/84
Likewise, for the 2nd fraction, since 28 × 3 = 84,
54/28 = 54 × 3/28 × 3 = 162/84
Add the two like fractions:
56/84 + 162/84 = 56 + 162/84 = 218/84
218/84 simplified gives 109/42
So, 2/3 + 54/28 = 109/42
In mixed form: 225/42

MathStep (Works offline)

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