Add 40/18 and 1/21, Solve 2 4/18 + 1/21 as a fraction

Add 40/18 and 1/21

1^st number: 2 4/18, 2^nd number: 1/21

40/18 + 1/21 is 143/63.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126
Likewise, for the 2nd fraction, since 21 × 6 = 126,
1/21 = 1 × 6/21 × 6 = 6/126
Add the two like fractions:
280/126 + 6/126 = 280 + 6/126 = 286/126
286/126 simplified gives 143/63
So, 40/18 + 1/21 = 143/63
In mixed form: 217/63

MathStep (Works offline)

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