Add 27/30 and 16/7
1st number: 27/30, 2nd number: 2 2/7
27/30 + 16/7 is 223/70.
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,
16/7 = 16 × 30/7 × 30 = 480/210 - Add the two like fractions:
189/210 + 480/210 = 189 + 480/210 = 669/210 - 669/210 simplified gives 223/70
- So, 27/30 + 16/7 = 223/70
In mixed form: 313/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+16/7 27/30+32/7 27/60+16/7 27/30+16/14 81/30+16/7 27/30+48/7 27/90+16/7 27/30+16/21 27/30+80/7 27/30+16/35 27/30+16/49