Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
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Exercise 5 Page 333

What number multiplied by 8 equals 28? Multiply 2 by that number.

\begin{gathered} \dfrac{8\text{ hr}} {\stackrel{\phantom{\tfrac{1}{2}}}{\small{2\text{ days}}}} = \dfrac{28\text{ hr}}{\textcolor{lightblue}{\boxed{\phantom{\dfrac{2}{2}}\textcolor{black}{7}\phantom{\dfrac{2}{2}}} \text{ days}}{\phantom{\text{-}}}} \end{gathered}

Practice makes perfect
Let's pay close attention to the given rate. \begin{gathered} \dfrac{8\text{ hr}} {\stackrel{\phantom{\tfrac{1}{2}}}{\small{2\text{ days}}}} = \dfrac{28\text{ hr}}{\textcolor{lightblue}{\boxed{\phantom{\dfrac{2}{2}\textcolor{black}{7}}\phantom{\dfrac{2}{2}}} \text{ days}}{\phantom{\text{-}}}} \end{gathered}

We need to find the number that we can multiply 8 by to get 28. 8* ? =28 We multiply 8 by 72 to get 28, so we will also multiply 2 by 72 to find an equivalent rate.

7/2

Showing Our Work

Multiplying by a Fraction
We want to multiply 2 by 72. To do so, we will move the left factor to the numerator and multiply. Then, let's simplify the result.
2 * 7/2
2 * 7/2
14/2
7