Add 40/7 and 27/45
1st number: 5 5/7, 2nd number: 27/45
40/7 + 27/45 is 221/35.
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,
40/7 = 40 × 45/7 × 45 = 1800/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
27/45 = 27 × 7/45 × 7 = 189/315 - Add the two like fractions:
1800/315 + 189/315 = 1800 + 189/315 = 1989/315 - 1989/315 simplified gives 221/35
- So, 40/7 + 27/45 = 221/35
In mixed form: 611/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/7+27/45 40/7+54/45 40/14+27/45 40/7+27/90 40/7+81/45 40/21+27/45 40/35+27/45 40/49+27/45