Add 27/35 and 20/45
27/35 + 20/45 is 383/315.
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,
20/45 = 20 × 7/45 × 7 = 140/315 - Add the two like fractions:
243/315 + 140/315 = 243 + 140/315 = 383/315 - So, 27/35 + 20/45 = 383/315
In mixed form: 168/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/35+20/45 27/35+40/45 27/70+20/45 27/35+20/90 81/35+20/45 27/35+60/45