Add 40/45 and 30/35
40/45 + 30/35 is 110/63.
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,
40/45 = 40 × 7/45 × 7 = 280/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
30/35 = 30 × 9/35 × 9 = 270/315 - Add the two like fractions:
280/315 + 270/315 = 280 + 270/315 = 550/315 - 550/315 simplified gives 110/63
- So, 40/45 + 30/35 = 110/63
In mixed form: 147/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+30/35 40/45+60/35 40/90+30/35 40/45+30/70 40/45+90/35