Add 16/9 and 30/40
1st number: 1 7/9, 2nd number: 30/40
16/9 + 30/40 is 91/36.
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,
16/9 = 16 × 40/9 × 40 = 640/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Add the two like fractions:
640/360 + 270/360 = 640 + 270/360 = 910/360 - 910/360 simplified gives 91/36
- So, 16/9 + 30/40 = 91/36
In mixed form: 219/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/9+30/40 16/9+60/40 16/18+30/40 16/9+30/80 48/9+30/40 16/9+90/40 16/27+30/40 80/9+30/40 16/45+30/40 16/63+30/40