Add 40/27 and 9/8
1st number: 1 13/27, 2nd number: 1 1/8
40/27 + 9/8 is 563/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 8 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
40/27 = 40 × 8/27 × 8 = 320/216 - Likewise, for the 2nd fraction, since 8 × 27 = 216,
9/8 = 9 × 27/8 × 27 = 243/216 - Add the two like fractions:
320/216 + 243/216 = 320 + 243/216 = 563/216 - So, 40/27 + 9/8 = 563/216
In mixed form: 2131/216
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/27+9/8 40/27+18/8 40/54+9/8 40/27+9/16 40/27+27/8 40/81+9/8 40/27+9/24 40/27+45/8 40/27+9/40 40/27+63/8 40/27+9/56