Add 27/30 and 30/7
1st number: 27/30, 2nd number: 4 2/7
27/30 + 30/7 is 363/70.
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,
30/7 = 30 × 30/7 × 30 = 900/210 - Add the two like fractions:
189/210 + 900/210 = 189 + 900/210 = 1089/210 - 1089/210 simplified gives 363/70
- So, 27/30 + 30/7 = 363/70
In mixed form: 513/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+30/7 27/30+60/7 27/60+30/7 27/30+30/14 81/30+30/7 27/30+90/7 27/90+30/7 27/30+30/21 27/30+30/35 27/30+30/49