Answer:
- The height of the other book is 2 3/4 inches.
Explanation:
From the information,we get:
Two stacks of books together are = 7 1/2 inches tall.
One stack is given,that is = 4 3/4 inches.
To Find:
Solution:
Let us assume that the other height of the book be x.
Then the equation will be:
![4\cfrac{3}{4} + x = 7\cfrac{1}{2}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/peplhpf3o8u4jnpsn5cw.png)
- Solve for x to get the other book's height.
Convert the mixed fractions to fractions:
![\implies \: \cfrac{19}{4 } + x = \cfrac{15}{2}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/c1nfwjd80w8efed1dbdo.png)
Subtract 19/4 from both sides:
![\implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/qa14uld0gov83gqrfjgn.png)
![\implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/6af78f5xbq8cfi47ckuc.png)
Hence, we can conclude that:
The height of the other book is 2 3/4 inches.