Add 18/9 and 42/40
1st number: 2 0/9, 2nd number: 1 2/40
18/9 + 42/40 is 61/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
18/9 = 18 × 40/9 × 40 = 720/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
42/40 = 42 × 9/40 × 9 = 378/360 - Add the two like fractions:
720/360 + 378/360 = 720 + 378/360 = 1098/360 - 1098/360 simplified gives 61/20
- So, 18/9 + 42/40 = 61/20
In mixed form: 31/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/9+42/40 18/9+84/40 18/9+42/80 54/9+42/40 18/27+42/40 90/9+42/40 18/45+42/40 18/63+42/40