Add 30/45 and 10/35
30/45 + 10/35 is 20/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 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 35 × 9 = 315,
10/35 = 10 × 9/35 × 9 = 90/315 - Add the two like fractions:
210/315 + 90/315 = 210 + 90/315 = 300/315 - 300/315 simplified gives 20/21
- So, 30/45 + 10/35 = 20/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+10/35 30/45+20/35 30/90+10/35 30/45+10/70 90/45+10/35 30/45+30/35 30/45+50/35 30/45+70/35