Add 40/27 and 18/7
1st number: 1 13/27, 2nd number: 2 4/7
40/27 + 18/7 is 766/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
18/7 = 18 × 27/7 × 27 = 486/189 - Add the two like fractions:
280/189 + 486/189 = 280 + 486/189 = 766/189 - So, 40/27 + 18/7 = 766/189
In mixed form: 410/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/27+18/7 40/27+36/7 40/54+18/7 40/27+18/14 40/27+54/7 40/81+18/7 40/27+18/21 40/27+90/7 40/27+18/35 40/27+18/49