Add 35/7 and 54/45
1st number: 5 0/7, 2nd number: 1 9/45
35/7 + 54/45 is 31/5.
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,
35/7 = 35 × 45/7 × 45 = 1575/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
54/45 = 54 × 7/45 × 7 = 378/315 - Add the two like fractions:
1575/315 + 378/315 = 1575 + 378/315 = 1953/315 - 1953/315 simplified gives 31/5
- So, 35/7 + 54/45 = 31/5
In mixed form: 61/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/7+54/45 35/14+54/45 35/7+54/90 35/21+54/45 35/49+54/45