Add 24/9 and 21/42, Solve 2 6/9 + 21/42 as a fraction

Add 24/9 and 21/42

1^st number: 2 6/9, 2^nd number: 21/42

24/9 + 21/42 is 19/6.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
24/9 = 24 × 14/9 × 14 = 336/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126
Add the two like fractions:
336/126 + 63/126 = 336 + 63/126 = 399/126
399/126 simplified gives 19/6
So, 24/9 + 21/42 = 19/6
In mixed form: 31/6

MathStep (Works offline)

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