Add 9/35 and 42/45
9/35 + 42/45 is 25/21.
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,
9/35 = 9 × 9/35 × 9 = 81/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
81/315 + 294/315 = 81 + 294/315 = 375/315 - 375/315 simplified gives 25/21
- So, 9/35 + 42/45 = 25/21
In mixed form: 14/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/35+42/45 9/35+84/45 9/70+42/45 9/35+42/90 27/35+42/45 45/35+42/45 63/35+42/45