Add 27/35 and 42/45
27/35 + 42/45 is 179/105.
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,
27/35 = 27 × 9/35 × 9 = 243/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Add the two like fractions:
243/315 + 294/315 = 243 + 294/315 = 537/315 - 537/315 simplified gives 179/105
- So, 27/35 + 42/45 = 179/105
In mixed form: 174/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/35+42/45 27/35+84/45 27/70+42/45 27/35+42/90 81/35+42/45