Add 54/35 and 75/45
1st number: 1 19/35, 2nd number: 1 30/45
54/35 + 75/45 is 337/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
54/35 = 54 × 9/35 × 9 = 486/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
75/45 = 75 × 7/45 × 7 = 525/315 - Add the two like fractions:
486/315 + 525/315 = 486 + 525/315 = 1011/315 - 1011/315 simplified gives 337/105
- So, 54/35 + 75/45 = 337/105
In mixed form: 322/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/70+75/45 54/35+75/90