Add 30/27 and 42/40
1st number: 1 3/27, 2nd number: 1 2/40
30/27 + 42/40 is 389/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
30/27 = 30 × 40/27 × 40 = 1200/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
42/40 = 42 × 27/40 × 27 = 1134/1080 - Add the two like fractions:
1200/1080 + 1134/1080 = 1200 + 1134/1080 = 2334/1080 - 2334/1080 simplified gives 389/180
- So, 30/27 + 42/40 = 389/180
In mixed form: 229/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/27+42/40 30/27+84/40 30/54+42/40 30/27+42/80 90/27+42/40 30/81+42/40