Add 7/40 and 8/15
7/40 + 8/15 is 17/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 15 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
7/40 = 7 × 3/40 × 3 = 21/120 - Likewise, for the 2nd fraction, since 15 × 8 = 120,
8/15 = 8 × 8/15 × 8 = 64/120 - Add the two like fractions:
21/120 + 64/120 = 21 + 64/120 = 85/120 - 85/120 simplified gives 17/24
- So, 7/40 + 8/15 = 17/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/40+8/15 7/40+16/15 7/80+8/15 7/40+8/30 21/40+8/15 7/40+24/15 7/40+8/45 35/40+8/15 7/40+40/15 7/40+8/75 49/40+8/15 7/40+56/15