Question

Which ratios have a unit rate greater than 1? Choose ALL that apply

Answer 1

Answer:

7 miles:3/4 hour

9/8 miles:5/6 hours

4 miles:3 1/3 hours

Step-by-step explanation:

To find the unit ratio divide each left side by the number on right side. if it's greater than 1 then unit rate is greater than 1

Answer 2

Answer:

-Ratio 2

-Ratio 4

-Ratio 5

Also in attachment below

Step-by-step explanation:

So, before we solve each ratio, we first need to understand what a unit rate is.

A unit rate is rato of one specific value. For example, the ratios in your problem look lik this:
$ratio 1 : ratio2$

A unit rate looks like this:

$\frac{ratio1}{ratio2}$

Now lets go over each ratio:

Ratio 1:

$\frac{9}{5}miles : 3 hours$

So, to find the unite rate, we divide $\frac{9}{5}$ by 3:

$\frac{\frac{9}{5} }{3} = \frac{3}{5}$

$\frac{3}{5}$ is less than 1, so the first ratio is not correct.

Now that we have went through the first one step by step, I will do the other ones without explanation(If you want a explanation on them feel free to ask :3)

Ratio 2:

$7 miles : \frac{3}{4} hours$

=

$\frac{7}{\frac{3}{4} } = \frac{28}{3} = 9 \frac{1}{3}$

This has a unit rate greater than 1, and is correct.

Ratio 3:

$2 \frac{1}{2}miles : 3hours$

=

$\frac{2\frac{1}{2} }{3} = \frac{5}{6}$

This has a unit rate less than 1, and is not correct

Ratio 4:

$\frac{9}{8}miles : \frac{5}{6} hours$

=

$\frac{\frac{9}{8} }{\frac{5}{6} } = \frac{54}{40}$

This has a unit rate greater than 1, and is correct

Ratio 5:

$4miles : 3\frac{1}{3} hours$

=

$\frac{4}{3\frac{1}{3} } = \frac{12}{10}$

This has a unit rate greater than 1, and is correct

Ratio 6:
$\frac{1}{3} mile : 2\frac{3}{8} hours$

=

$\frac{\frac{1}{3} }{2\frac{3}{8} } = \frac{\frac{8}{3} }{19} = \frac{8}{57}$

This has a unit rate less than 1, and is not correct.

Hope this helps! :3