Add 40/24 and 6/21, Solve 1 16/24 + 6/21 as a fraction

Add 40/24 and 6/21

1^st number: 1 16/24, 2^nd number: 6/21

40/24 + 6/21 is 41/21.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 21 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168
Likewise, for the 2nd fraction, since 21 × 8 = 168,
6/21 = 6 × 8/21 × 8 = 48/168
Add the two like fractions:
280/168 + 48/168 = 280 + 48/168 = 328/168
328/168 simplified gives 41/21
So, 40/24 + 6/21 = 41/21
In mixed form: 120/21

MathStep (Works offline)

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