Add 40/56 and 14/15
40/56 + 14/15 is 173/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 15 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
40/56 = 40 × 15/56 × 15 = 600/840 - Likewise, for the 2nd fraction, since 15 × 56 = 840,
14/15 = 14 × 56/15 × 56 = 784/840 - Add the two like fractions:
600/840 + 784/840 = 600 + 784/840 = 1384/840 - 1384/840 simplified gives 173/105
- So, 40/56 + 14/15 = 173/105
In mixed form: 168/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/56+14/15 40/56+28/15 40/56+14/30 40/56+42/15 40/56+14/45 40/56+70/15 40/56+14/75 40/56+98/15