Add 35/2 and 24/28, Solve 17 1/2 + 24/28 as a fraction

Add 35/2 and 24/28

1^st number: 17 1/2, 2^nd number: 24/28

35/2 + 24/28 is 257/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 28 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 2 × 14 = 28,
35/2 = 35 × 14/2 × 14 = 490/28
Likewise, for the 2nd fraction, since 28 × 1 = 28,
24/28 = 24 × 1/28 × 1 = 24/28
Add the two like fractions:
490/28 + 24/28 = 490 + 24/28 = 514/28
514/28 simplified gives 257/14
So, 35/2 + 24/28 = 257/14
In mixed form: 185/14

MathStep (Works offline)

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