Add 36/27 and 42/35
1st number: 1 9/27, 2nd number: 1 7/35
36/27 + 42/35 is 38/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
36/27 = 36 × 35/27 × 35 = 1260/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
42/35 = 42 × 27/35 × 27 = 1134/945 - Add the two like fractions:
1260/945 + 1134/945 = 1260 + 1134/945 = 2394/945 - 2394/945 simplified gives 38/15
- So, 36/27 + 42/35 = 38/15
In mixed form: 28/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/27+42/35 36/27+84/35 36/54+42/35 36/27+42/70 36/81+42/35