Add 40/12 and 30/7
1st number: 3 4/12, 2nd number: 4 2/7
40/12 + 30/7 is 160/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
30/7 = 30 × 12/7 × 12 = 360/84 - Add the two like fractions:
280/84 + 360/84 = 280 + 360/84 = 640/84 - 640/84 simplified gives 160/21
- So, 40/12 + 30/7 = 160/21
In mixed form: 713/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+30/7 40/12+60/7 40/24+30/7 40/12+30/14 40/12+90/7 40/36+30/7 40/12+30/21 40/60+30/7 40/12+30/35 40/84+30/7 40/12+30/49