Add 4/35 and 14/16
4/35 + 14/16 is 277/280.
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,
4/35 = 4 × 16/35 × 16 = 64/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
14/16 = 14 × 35/16 × 35 = 490/560 - Add the two like fractions:
64/560 + 490/560 = 64 + 490/560 = 554/560 - 554/560 simplified gives 277/280
- So, 4/35 + 14/16 = 277/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/35+14/16 4/35+28/16 4/70+14/16 4/35+14/32 12/35+14/16 4/35+42/16 4/35+14/48 20/35+14/16 4/35+70/16 4/35+14/80 28/35+14/16 4/35+98/16