Add 10/40 and 40/45
10/40 + 40/45 is 41/36.
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,
10/40 = 10 × 9/40 × 9 = 90/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
40/45 = 40 × 8/45 × 8 = 320/360 - Add the two like fractions:
90/360 + 320/360 = 90 + 320/360 = 410/360 - 410/360 simplified gives 41/36
- So, 10/40 + 40/45 = 41/36
In mixed form: 15/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+40/45 10/40+80/45 10/80+40/45 10/40+40/90 30/40+40/45 50/40+40/45 70/40+40/45