Why is it useful to write a ratio of fractions as a unit rate

Mathematics

1 answer:

Illusion [34]3 years ago

7 0

A "unit rate" has a denominator of 1. That will often simplify any subsequent math operations.

_____

The choice of the form of a ratio should be made based on what you need to do with it. Sometimes, a denominator other than 1 is appropriate to follow-on operations you may need to perform.

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Rationalize the denominator of the fraction and enter the new denominator below.<br><br>8/2-√12

Studentka2010 [4]

$\frac{8}{2-\sqrt{12}}=\frac{8}{2-\sqrt{4\cdot3}}=\frac{8}{2-2\sqrt3}=\frac{8}{2(1-\sqrt3)}=\frac{4}{1-\sqrt3}\\\\\frac{4}{1-\sqrt3}\cdot\frac{1+\sqrt3}{1+\sqrt3}=\frac{4(1+\sqrt3)}{1^2-(\sqrt3)^2}=\frac{4(1+\sqrt3)}{1-3}=\frac{4(1+\sqrt3)}{-2}=-2(1+\sqrt3)}\\\\=-2-2\sqrt3$

$if\ \frac{8}{2}-\sqrt{12}=4-\sqrt{4\cdot3}=4-2\sqrt3$

8 0

3 years ago

Read 2 more answers

Tania purchased P packages of pasta for $1.25 each and J jars of sauce for $1.85 each. She purchased 22 items and spent $33.50.

sergey [27]

Answer:

you would need to first do

(p times 1.25)

(j times 1.85)

and then

22 divided by 33.50

Step-by-step explanation: