Add 7/35 and 42/45
7/35 + 42/45 is 17/15.
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,
7/35 = 7 × 9/35 × 9 = 63/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
63/315 + 294/315 = 63 + 294/315 = 357/315 - 357/315 simplified gives 17/15
- So, 7/35 + 42/45 = 17/15
In mixed form: 12/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/35+42/45 7/35+84/45 7/70+42/45 7/35+42/90 21/35+42/45 49/35+42/45