Add 27/30 and 42/7
1st number: 27/30, 2nd number: 6 0/7
27/30 + 42/7 is 69/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
42/7 = 42 × 30/7 × 30 = 1260/210 - Add the two like fractions:
189/210 + 1260/210 = 189 + 1260/210 = 1449/210 - 1449/210 simplified gives 69/10
- So, 27/30 + 42/7 = 69/10
In mixed form: 69/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+42/7 27/30+84/7 27/60+42/7 27/30+42/14 81/30+42/7 27/90+42/7 27/30+42/21 27/30+42/35 27/30+42/49