Add 75/7 and 30/45
1st number: 10 5/7, 2nd number: 30/45
75/7 + 30/45 is 239/21.
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,
75/7 = 75 × 45/7 × 45 = 3375/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Add the two like fractions:
3375/315 + 210/315 = 3375 + 210/315 = 3585/315 - 3585/315 simplified gives 239/21
- So, 75/7 + 30/45 = 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: 75/7+60/45 75/14+30/45 75/7+30/90 75/7+90/45 75/21+30/45 75/35+30/45 75/49+30/45