Add 24/28 and 28/21, Solve 24/28 + 1 7/21 as a fraction

Add 24/28 and 28/21

1^st number: 24/28, 2^nd number: 1 7/21

24/28 + 28/21 is 46/21.

Find the least common denominator or LCM of the two denominators:
LCM of 28 and 21 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 28 × 3 = 84,
24/28 = 24 × 3/28 × 3 = 72/84
Likewise, for the 2nd fraction, since 21 × 4 = 84,
28/21 = 28 × 4/21 × 4 = 112/84
Add the two like fractions:
72/84 + 112/84 = 72 + 112/84 = 184/84
184/84 simplified gives 46/21
So, 24/28 + 28/21 = 46/21
In mixed form: 24/21

MathStep (Works offline)

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