Add 40/21 and 7/27
1st number: 1 19/21, 2nd number: 7/27
40/21 + 7/27 is 409/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
40/21 = 40 × 9/21 × 9 = 360/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
7/27 = 7 × 7/27 × 7 = 49/189 - Add the two like fractions:
360/189 + 49/189 = 360 + 49/189 = 409/189 - So, 40/21 + 7/27 = 409/189
In mixed form: 231/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/21+7/27 40/21+14/27 40/42+7/27 40/21+7/54 40/21+21/27 40/63+7/27 40/21+7/81 40/21+35/27 40/21+49/27