Add 40/9 and 42/40
1st number: 4 4/9, 2nd number: 1 2/40
40/9 + 42/40 is 989/180.
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,
40/9 = 40 × 40/9 × 40 = 1600/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
42/40 = 42 × 9/40 × 9 = 378/360 - Add the two like fractions:
1600/360 + 378/360 = 1600 + 378/360 = 1978/360 - 1978/360 simplified gives 989/180
- So, 40/9 + 42/40 = 989/180
In mixed form: 589/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+42/40 40/9+84/40 40/18+42/40 40/9+42/80 40/27+42/40 40/45+42/40 40/63+42/40