Add 40/7 and 30/45
1st number: 5 5/7, 2nd number: 30/45
40/7 + 30/45 is 134/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Add the two like fractions:
1800/315 + 210/315 = 1800 + 210/315 = 2010/315 - 2010/315 simplified gives 134/21
- So, 40/7 + 30/45 = 134/21
In mixed form: 68/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/7+30/45 40/7+60/45 40/14+30/45 40/7+30/90 40/7+90/45 40/21+30/45 40/35+30/45 40/49+30/45