Add 10/7 and 28/24, Solve 1 3/7 + 1 4/24 as a fraction

Add 10/7 and 28/24

1^st number: 1 3/7, 2^nd number: 1 4/24

10/7 + 28/24 is 109/42.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 7 × 24 = 168,
10/7 = 10 × 24/7 × 24 = 240/168
Likewise, for the 2nd fraction, since 24 × 7 = 168,
28/24 = 28 × 7/24 × 7 = 196/168
Add the two like fractions:
240/168 + 196/168 = 240 + 196/168 = 436/168
436/168 simplified gives 109/42
So, 10/7 + 28/24 = 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