Add 9/35 and 14/40
9/35 + 14/40 is 17/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
9/35 = 9 × 8/35 × 8 = 72/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
14/40 = 14 × 7/40 × 7 = 98/280 - Add the two like fractions:
72/280 + 98/280 = 72 + 98/280 = 170/280 - 170/280 simplified gives 17/28
- So, 9/35 + 14/40 = 17/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/35+14/40 9/35+28/40 9/70+14/40 9/35+14/80 27/35+14/40 9/35+42/40 45/35+14/40 9/35+70/40 63/35+14/40 9/35+98/40