Add 10/8 and 40/27
1st number: 1 2/8, 2nd number: 1 13/27
10/8 + 40/27 is 295/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
10/8 = 10 × 27/8 × 27 = 270/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Add the two like fractions:
270/216 + 320/216 = 270 + 320/216 = 590/216 - 590/216 simplified gives 295/108
- So, 10/8 + 40/27 = 295/108
In mixed form: 279/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/8+40/27 10/8+80/27 10/16+40/27 10/8+40/54 30/8+40/27 10/24+40/27 10/8+40/81 50/8+40/27 10/40+40/27 70/8+40/27 10/56+40/27