Question

What is 2 3/4 divided by 1/2

Answer 1

`\frac{11}2 = 5.5`

Explanation:

We'll first bring 2 3/4 into a common denominator in order to get it in fraction form:

`2 + \frac34 = \frac{2 * 4}4 + \frac34 = \frac{2 * 4 + 3}4 = \frac{8 + 3}4 = \frac{11}4\\`

Dividing two fractions (a/b, c/d) by one another follows the following rule:

`(\frac ab)/(\frac cd) = \frac ab * \frac dc`

Using this logic,

`\frac{\frac{11}4}{\frac12} = \frac{11}4 * \frac21 = (11 * 2)/(4 * 1) = \frac{22}4 = \frac{11}2 = 5.5`