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Semenov [28]
2 years ago
10

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

Mathematics
2 answers:
vichka [17]2 years ago
8 0

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

almond37 [142]2 years ago
3 0

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:

<u>Ratio 1:</u>

\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)

<u>Ratio 2:</u>

<u />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.

<u>Ratio 3:</u>

<u />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

<u>Ratio 4:</u>

<u />\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

<u>Ratio 5:</u>

<u />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

<u>Ratio 6:
</u>\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

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