Answer: 188/45 or 4 8/45.
Step-by-step explanation:
1. Change the mixed numbers to improper fractions.
10 1/9 = 91/9
5 14/15 = 89/15
2. Now, we must find a common denominator by finding the LCM (Least Common Multiple). In this case, it would be 90. 9 x 10 = 90 and 15 x 6 = 90. The numerators must equal the denominators, so we would multiply 91 by 10 and 89 by 6.
Our new fractions are 910/90 and 534/90.
3. Subtract the fractions. 910/90 - 534/90 = 376/90.
4. Simplify. 376 and 90 are both divisible by 2, so our answer will be 188/45 or 4 8/45.
