Add 35/7 and 40/27
1st number: 5 0/7, 2nd number: 1 13/27
35/7 + 40/27 is 175/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
35/7 = 35 × 27/7 × 27 = 945/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Add the two like fractions:
945/189 + 280/189 = 945 + 280/189 = 1225/189 - 1225/189 simplified gives 175/27
- So, 35/7 + 40/27 = 175/27
In mixed form: 613/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/7+40/27 35/7+80/27 35/14+40/27 35/7+40/54 35/21+40/27 35/7+40/81 35/49+40/27