Add 30/8 and 40/45
1st number: 3 6/8, 2nd number: 40/45
30/8 + 40/45 is 167/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
30/8 = 30 × 45/8 × 45 = 1350/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Add the two like fractions:
1350/360 + 320/360 = 1350 + 320/360 = 1670/360 - 1670/360 simplified gives 167/36
- So, 30/8 + 40/45 = 167/36
In mixed form: 423/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/8+40/45 30/8+80/45 30/16+40/45 30/8+40/90 90/8+40/45 30/24+40/45 30/40+40/45 30/56+40/45