Add 40/30 and 4/14
1st number: 1 10/30, 2nd number: 4/14
40/30 + 4/14 is 34/21.
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,
4/14 = 4 × 15/14 × 15 = 60/210 - Add the two like fractions:
280/210 + 60/210 = 280 + 60/210 = 340/210 - 340/210 simplified gives 34/21
- So, 40/30 + 4/14 = 34/21
In mixed form: 113/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/30+4/14 40/30+8/14 40/60+4/14 40/30+4/28 40/30+12/14 40/90+4/14 40/30+4/42 40/30+20/14 40/30+4/70 40/30+28/14 40/30+4/98