Add 30/45 and 75/7
1st number: 30/45, 2nd number: 10 5/7
30/45 + 75/7 is 239/21.
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,
75/7 = 75 × 45/7 × 45 = 3375/315 - Add the two like fractions:
210/315 + 3375/315 = 210 + 3375/315 = 3585/315 - 3585/315 simplified gives 239/21
- So, 30/45 + 75/7 = 239/21
In mixed form: 118/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+75/7 30/90+75/7 30/45+75/14 90/45+75/7 30/45+75/21 30/45+75/35 30/45+75/49