Add 30/40 and 10/14
30/40 + 10/14 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
10/14 = 10 × 20/14 × 20 = 200/280 - Add the two like fractions:
210/280 + 200/280 = 210 + 200/280 = 410/280 - 410/280 simplified gives 41/28
- So, 30/40 + 10/14 = 41/28
In mixed form: 113/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+10/14 30/40+20/14 30/80+10/14 30/40+10/28 90/40+10/14 30/40+30/14 30/40+10/42 30/40+50/14 30/40+10/70 30/40+70/14 30/40+10/98