Answer :
Final answer:
To find the difference between 10 1/9 and 5 14/15, we convert the fractions to a common denominator of 45, resulting in 10 5/45 and 5 42/45. Subtracting the latter from the former, we get a difference of 4 8/45.
Explanation:
The student is asking for the difference between two mixed numbers, 10 1/9 and 5 14/15. To find the difference, we first need to make the fractions have a common denominator. The lowest common denominator for 9 and 15 is 45.
To convert 1/9 to a fraction with a denominator of 45, we multiply both the numerator and denominator by 5. This results in 5/45. We then do the same for 14/15, multiplying both the numerator and denominator by 3 to get 42/45.
Now, we rewrite the mixed numbers with their equivalent fractions: 10 5/45 and 5 42/45. Subtracting 5 42/45 from 10 5/45 gives us:
- 10 5/45
- - 5 42/45
This is the same as:
- (10 - 5) + (5/45 - 42/45)
- 5 + (-37/45)
Which simplifies to:
- 4 8/45
This means the difference between 10 1/9 and 5 14/15 is 4 8/45.
