Envision Math 2.0: Grade 6, Volume 2
EM
Envision Math 2.0: Grade 6, Volume 2 View details
Get Ready!
Continue to next subchapter

Exercise 6 Page 333

What number multiplied by 40 equals 16? Multiply 5 by that number.

\begin{gathered} \dfrac{16\text{ limes}}{\textcolor{lightblue}{\boxed{\phantom{\dfrac{2}{2}}\textcolor{black}{2}\phantom{\dfrac{2}{2}}} \text{ bags}}{\phantom{\text{-}}}} = \dfrac{40\text{ limes}} {\stackrel{\phantom{\tfrac{1}{2}}}{\small{5\text{ bags}}}} \end{gathered}

Practice makes perfect
Let's pay close attention to the given rate. \begin{gathered} \dfrac{16\text{ limes}}{\textcolor{lightblue}{\boxed{\phantom{\dfrac{2}{2}\textcolor{black}{2}}\phantom{\dfrac{2}{2}}} \text{ bags}}{\phantom{\text{-}}}} = \dfrac{40\text{ limes}} {\stackrel{\phantom{1}}{\small{5\text{ bags}}}} \end{gathered}

We need to find the number that we can multiply 40 by to get 16. 40* ? =16 We multiply 40 by 25 to get 16, so we will also multiply 5 by 25 to find an equivalent rate.

A proportion with the left-hand side ratio of 16 limes over 2 bags and the right-hand side ratio of 40 limes over 5 bags. The numerator and the denominator of the right-hand side ratio is 2/5 times greater than the numberator and the denominator of the left-hand side ratio

Showing Our Work

Multiplying by a Fraction
We want to multiply 5 by 25. To do so, we will move the left factor to the numerator and multiply. Then, let's simplify the result.
5 * 2/5
5 * 2/5
10/5
2