Add 10/6 and 75/27
1st number: 1 4/6, 2nd number: 2 21/27
10/6 + 75/27 is 40/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 6 × 9 = 54,
10/6 = 10 × 9/6 × 9 = 90/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
75/27 = 75 × 2/27 × 2 = 150/54 - Add the two like fractions:
90/54 + 150/54 = 90 + 150/54 = 240/54 - 240/54 simplified gives 40/9
- So, 10/6 + 75/27 = 40/9
In mixed form: 44/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/6+75/27 10/12+75/27 10/6+75/54 30/6+75/27 10/18+75/27 10/6+75/81 50/6+75/27 10/30+75/27 70/6+75/27 10/42+75/27