Add 24/42 and 21/8, Solve 24/42 + 2 5/8 as a fraction

Add 24/42 and 21/8

1^st number: 24/42, 2^nd number: 2 5/8

24/42 + 21/8 is 179/56.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 42 × 4 = 168,
24/42 = 24 × 4/42 × 4 = 96/168
Likewise, for the 2nd fraction, since 8 × 21 = 168,
21/8 = 21 × 21/8 × 21 = 441/168
Add the two like fractions:
96/168 + 441/168 = 96 + 441/168 = 537/168
537/168 simplified gives 179/56
So, 24/42 + 21/8 = 179/56
In mixed form: 311/56

MathStep (Works offline)

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