Question

Divide fractions (reduce to lowest terms or tenths) 22 3/4÷1/8

Answer 1

Given the expression:

`\text{ 22}\frac{\text{ 3}}{4}\text{ }/\text{ }(1)/(8)`

To be able to divide the given fractions, let's first convert the mixed number into an improper fraction.

`\text{ 22 }(3)/(4)\text{ = }\frac{3\text{ + (22 x 4)}}{4}\text{ = }\frac{3\text{ + 88}}{4}`
`\text{ 22 }(3)/(4)\text{ = }(91)/(4)`

Let's now proceed with the division.

In dividing fractions, you reciprocate the divisor and transform the operation from division into multiplication.

We get,

`\text{ 22}\frac{\text{ 3}}{4}\text{ }/\text{ }(1)/(8)\text{ = }(91)/(4)\text{ }/\text{ }(1)/(8)\text{ }`
`\text{ = }(91)/(4)\text{ x }(8)/(1)\text{ }`
`\text{ = }\frac{91\text{ x 8}}{4\text{ x 1}}\text{ = }(728)/(4)`
`\text{ = }182`

Therefore, the answer is 182.