Question

write an equivalent multiplication expression to 1/4 ÷ 2. then find the quotient in its simplest form. use a model to support your response

Answer 1

It looks like the problem is asking us to put $\dfrac{\frac{1}{4}}{2}$ into a multiplicative expression. To do this, I would remember the following property:

$\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b} \cdot \dfrac{d}{c} = \dfrac{ad}{bc}$

In our case, we can use this property to find our multiplicative expression and the answer.

$\dfrac{\frac{1}{4}}{2} = \dfrac{(1)(1)}{(2)(4)} = \dfrac{1}{2} \cdot \dfrac{1}{4}$

Above, we have found the multiplicative expression. Now, we can find our answer by simplifying the expression.

$\dfrac{1}{4} \cdot \dfrac{1}{2} = \dfrac{1}{8}$

The multiplicative expression is

$\dfrac{1}{2} \cdot \dfrac{1}{4}$

and the answer is

$\boxed{\dfrac{1}{8}}$