Question

Use the model to write the equation that represents the problem.

I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have?
A)
1
2
÷
3
4
= 2
B)
1
2
÷
3
4
= 3
C)
1
2
÷
3
4
=
2
3
D)
1
2
÷
3
4
=
3
2

Answer 1

you would have
`(2)/(3)` pieces left

answer is C

Explanation:

one half divided by three fourths

all the options look the same

anyway,
`((a)/(b))/((c)/(d))=((a)/(b))((d)/(c))`

so 1/2 divided by 3/4 would be

`((1)/(2))/((3)/(4))=((1)/(2))((4)/(3)=(4)/(6)=(2)/(3)`

so you would have
`(2)/(3)` pieces

Answer is C

Answer 2

The correct answer option is C.
`(1)/(2) / (3)/(4) = (2)/(3)`.

Explanation:

Given that we have one half of piece of a square and that we want to divide it by three fourths, we are to find the number of pieces we will have.

For that, we simply need to divide the half square by three-fourth.

Number of pieces we would have =
`\frac { \frac { 1 } { 2 } } { \frac { 3 } { 4 } }  = \frac { 1 } { 2 } * \frac { 4 } { 3 } = \frac { 2 } { 3 }`

Therefore, we will have 2/3 pieces of the square.