Add 7/35 and 14/16
7/35 + 14/16 is 43/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
7/35 = 7 × 16/35 × 16 = 112/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
14/16 = 14 × 35/16 × 35 = 490/560 - Add the two like fractions:
112/560 + 490/560 = 112 + 490/560 = 602/560 - 602/560 simplified gives 43/40
- So, 7/35 + 14/16 = 43/40
In mixed form: 13/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/35+14/16 7/35+28/16 7/70+14/16 7/35+14/32 21/35+14/16 7/35+42/16 7/35+14/48 7/35+70/16 7/35+14/80 49/35+14/16 7/35+98/16