We can write ratios as fractions by placing the first number over the second number.

So, what ratio describes the number of rectangles to triangles below?

First, we count the number of rectangles. We see that there are \color{blue}4 rectangles.

Then, we count the number of triangles. We see that there are \color{red}3 triangles.

So the ratio of rectangles to triangles is {\color{blue}4}:{\color{red}3}. As a fraction, this is \dfrac{\color{blue}4}{\color{red}3}.

We interpret this number to mean that there are \dfrac{\color{blue}4}{\color{red}3} rectangles for each triangle.

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What ratio describes the number of rhombuses to the number of triangles?

EXPLANATION

First, we count the number of rhombuses. We see that there are 2 rhombuses.

Then, we count the number of triangles. We see that there are 3 triangles.

So the ratio of rhombuses to triangles is \dfrac{2}{3}.

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What ratio describes the number of squares to circles?

a
$\dfrac{2}{5}$
b
$\dfrac{3}{2}$
c
$\dfrac{5}{3}$
d
$\dfrac{2}{3}$
e
$\dfrac{3}{5}$

If the ratio of circles to total shapes is $\dfrac{2}{\fbox{$\phantom{0}$}}$ then what is the missing number?

a
$1$
b
$3$
c
$5$
d
$7$
e
$2$

What is missing in the following sentence?

To make a fertilizer Esther mixed 2 quarts of fertilizer concentrate and 3 quarts of distilled water, so there are \fbox{[math]\phantom{0}[/math]}\, quarts of fertilizer concentrate for each quart of distilled water.

EXPLANATION

The ratio of the number of quarts of fertilizer concentrate to the number of quarts of distilled water is {\color{blue}{2}}:{\color{red}{3}}.

We can rewrite this ratio as a fraction, as follows:

\dfrac{{\color{blue}{2}}}{{\color{red}{3}}}

This means that there is \dfrac{2}{3} quart of fertilizer concentrate for each quart of distilled water.

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What is missing in the following sentence?

A recipe has a ratio of $3$ cups of flour to $4$ cups of sugar, so there are $\fbox{$\phantom{0}$}$ cups of flour for each cup of sugar.

a
$\dfrac{3}{7}$
b
$\dfrac{4}{3}$
c
$3$
d
$\dfrac{3}{4}$
e
$\dfrac{4}{7}$

What is missing in the following sentence?

Mark and James shared slices of pizza in the ratio of $2:6$, so there are $\fbox{$\phantom{0}$}$ slices of Mark's share for each slice of James' share.

a
$\dfrac{1}{2}$
b
$\dfrac{1}{3}$
c
$\dfrac{2}{3}$
d
$\dfrac{1}{4}$
e
$\dfrac{1}{6}$

From left to right, what are the missing numbers in the following sentence?

A chef requires \dfrac{1}{7} grams of chilies for each gram of turmeric for his recipe. Therefore, the recipe has a ratio of \fbox{[math]\phantom{0}[/math]} grams of chilies to \fbox{[math]\phantom{0}[/math]} grams of turmeric.

EXPLANATION

Let's rewrite the fraction \dfrac{1}{7} as a ratio:

1:7

Therefore, the recipe has a ratio of 1 gram of chilies to 7 grams of turmeric.

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From left to right, what are the missing numbers in the following sentence?

In a liquid, there are $\dfrac{5}{7}$ cups of water for each cup of milk. Therefore, the liquid has a ratio of $\fbox{$\phantom{0}$}$ cups of water to $\fbox{$\phantom{0}$}$ cups of milk.

a
$7$ and $5$
b
$5$ and $7$
c
$5$ and $12$
d
$2$ and $7$
e
$12$ and $5$

From left to right, what are the missing numbers in the following sentence?

In a recipe, there are $\dfrac{4}{5}$ cups of lemon juice for each cup of water. Therefore, the recipe has a ratio of $\fbox{$\phantom{0}$}$ cups of lemon juice to $\fbox{$\phantom{0}$}$ cups of water.

a
$5$ and $9$
b
$4$ and $9$
c
$4$ and $5$
d
$5$ and $4$
e
$1$ and $4$
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