Add 14/16 and 27/35
14/16 + 27/35 is 461/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 35 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 16 × 35 = 560,
14/16 = 14 × 35/16 × 35 = 490/560 - Likewise, for the 2nd fraction, since 35 × 16 = 560,
27/35 = 27 × 16/35 × 16 = 432/560 - Add the two like fractions:
490/560 + 432/560 = 490 + 432/560 = 922/560 - 922/560 simplified gives 461/280
- So, 14/16 + 27/35 = 461/280
In mixed form: 1181/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/16+27/35 14/16+54/35 14/32+27/35 14/16+27/70 42/16+27/35 14/16+81/35 14/48+27/35 70/16+27/35 14/80+27/35 98/16+27/35