Question

Please explain as well!​

Answer 1

Answer:

• The height of the other book is 2 3/4 inches.

Step-by-step 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:

• The height of the other.

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

$4\cfrac{3}{4} + x = 7\cfrac{1}{2}$

• Solve for x to get the other book's height.

Convert the mixed fractions to fractions:

$\implies \: \cfrac{19}{4 } + x = \cfrac{15}{2}$

Subtract 19/4 from both sides:

$\implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4}$

$\implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}$

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.