Add 40/30 and 7/14
1st number: 1 10/30, 2nd number: 7/14
40/30 + 7/14 is 11/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
7/14 = 7 × 15/14 × 15 = 105/210 - Add the two like fractions:
280/210 + 105/210 = 280 + 105/210 = 385/210 - 385/210 simplified gives 11/6
- So, 40/30 + 7/14 = 11/6
In mixed form: 15/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/30+7/14 40/60+7/14 40/30+7/28 40/30+21/14 40/90+7/14 40/30+7/42 40/30+35/14 40/30+7/70 40/30+49/14 40/30+7/98