Add 30/40 and 30/7
1st number: 30/40, 2nd number: 4 2/7
30/40 + 30/7 is 141/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 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 7 × 40 = 280,
30/7 = 30 × 40/7 × 40 = 1200/280 - Add the two like fractions:
210/280 + 1200/280 = 210 + 1200/280 = 1410/280 - 1410/280 simplified gives 141/28
- So, 30/40 + 30/7 = 141/28
In mixed form: 51/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+30/7 30/40+60/7 30/80+30/7 30/40+30/14 90/40+30/7 30/40+90/7 30/40+30/21 30/40+30/35 30/40+30/49