Answered

In your marble collection, 4/7 of the marbles are blue and 4/21 of the marbles are red. How many times more blue marbles do you have than red marbles?



Answer :

Just subtract 7 from 21 and you get 14 so you get 4/14
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Answer:

3 times.

Step-by-step explanation:

We begin by knowing that 4/7 is greater than 4/21. So you should know how many times there are more blue marbles than red marbles. That's,

Let X = number of times there are more blue marbles than red marbles

4/7 = X * 4/21

Isolating X,

X = 4/7 ÷ 4/21

That's,  

 [tex]\frac{4}{7} / \frac{4}{21}=\frac{4*21}{4*7}=\frac{84}{28}= 3[/tex]

Then there are three times more blue marbles than red marbles.

It can be easily demonstrated, by substituting X in the original equation, or multiplying 3 by 4/21

4/7 = X * 4/21

4/7 = 3 * 4/21

4/7 = 12/21

4/7 = 12/3 / 21/3

4/7 = 4/7

Hope this helps!