Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# Ms. Augello is making tie dye shirts with her students. Each gallon of hot water needs$\frac{2}{3}$cup of tie dye. If Ms. Augello has$5\frac{1}{4}$cups of tie dye, how many batches of solution will she be able to make?

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 3

The conditions of the problem translate to the expression

\begin{align*} 5\dfrac{1}{4}\div\dfrac{2}{3} .\end{align*}

Converting to fraction results to

\begin{align*} 5\dfrac{1}{4} &\Rightarrow \dfrac{5(4)+1}{4} \\\\&= \dfrac{20+1}{4} \\\\&= \dfrac{21}{4} .\end{align*}

Thus the expression $5\dfrac{1}{4}\div\dfrac{2}{3}$ is equivalent to

\begin{align*} \dfrac{21}{4}\div\dfrac{2}{3} .\end{align*}

Since $\dfrac{a}{b}\div\dfrac{c}{d}$ implies $\dfrac{a}{b}\cdot\dfrac{d}{c}$, the expression $\dfrac{21}{4}\div\dfrac{2}{3}$ implies

\begin{align*} & \dfrac{21}{4}\cdot\dfrac{3}{2} .\end{align*}

## Recommended textbook solutions

#### Prealgebra

1st EditionISBN: 9780078957734McGraw-Hill
11,074 solutions

#### Go Math: Middle School, Grade 7

1st EditionISBN: 9780544056756Holt McDougal
3,175 solutions

#### Saxon Math, Course 2

1st EditionISBN: 9781591418351Hake, Stephen
4,848 solutions

#### Saxon Math, Course 3

1st EditionISBN: 9781591418849 (1 more)Hake
4,042 solutions