Add 27/35 and 42/63
27/35 + 42/63 is 151/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 63 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 63 × 5 = 315,
42/63 = 42 × 5/63 × 5 = 210/315 - Add the two like fractions:
243/315 + 210/315 = 243 + 210/315 = 453/315 - 453/315 simplified gives 151/105
- So, 27/35 + 42/63 = 151/105
In mixed form: 146/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/35+42/63 27/35+84/63 27/70+42/63 81/35+42/63