Question

-2/3 divided by 3and 3/4 equals what

Answer 1

Given:

`-(2)/(3)\text{ }/\text{ 3}(3)/(4)`

For us to be able to proceed, let's first convert the mixed number 3 and 3/4 into an improper fraction.

We get,

`\text{ 3}(3)/(4)\text{ = }\frac{\text{ (3 x 4) + 3}}{\text{ 4}}\text{ = }\frac{\text{ 12 + 3}}{\text{ 4}}\text{ = }\frac{\text{ 15}}{\text{ 4}}`

Therefore, the improper fraction equivalent of 3 and 3/4 is 15/4.

Let's now proceed in dividing fractions,

`-(2)/(3)\text{ }/\text{ 3}(3)/(4)\text{ = }-(2)/(3)\text{ }/\text{ }\frac{\text{ 15}}{\text{ 4}}`
`-(2)/(3)\text{ }/\text{ }\frac{\text{ 15}}{\text{ 4}}\text{ = }-(2)/(3)\text{ x }\frac{\text{ 4}}{\text{ 15}}\text{ = -}\frac{\text{ 2 x 4}}{\text{ 3 x 15}}`
`=\text{ -}\frac{\text{ 8}}{\text{ 45}}`

We can no longer simplify -8/45.

Therefore, the answer is -8/45.