Add 30/45 and 40/7
1st number: 30/45, 2nd number: 5 5/7
30/45 + 40/7 is 134/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Add the two like fractions:
210/315 + 1800/315 = 210 + 1800/315 = 2010/315 - 2010/315 simplified gives 134/21
- So, 30/45 + 40/7 = 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: 60/45+40/7 30/45+80/7 30/90+40/7 30/45+40/14 90/45+40/7 30/45+40/21 30/45+40/35 30/45+40/49