Add 30/40 and 10/45
30/40 + 10/45 is 35/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
10/45 = 10 × 8/45 × 8 = 80/360 - Add the two like fractions:
270/360 + 80/360 = 270 + 80/360 = 350/360 - 350/360 simplified gives 35/36
- So, 30/40 + 10/45 = 35/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+10/45 30/40+20/45 30/80+10/45 30/40+10/90 90/40+10/45 30/40+30/45 30/40+50/45 30/40+70/45