Add 40/7 and 36/27
1st number: 5 5/7, 2nd number: 1 9/27
40/7 + 36/27 is 148/21.
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,
40/7 = 40 × 27/7 × 27 = 1080/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
36/27 = 36 × 7/27 × 7 = 252/189 - Add the two like fractions:
1080/189 + 252/189 = 1080 + 252/189 = 1332/189 - 1332/189 simplified gives 148/21
- So, 40/7 + 36/27 = 148/21
In mixed form: 71/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/7+36/27 40/7+72/27 40/14+36/27 40/7+36/54 40/21+36/27 40/7+36/81 40/35+36/27 40/49+36/27