Question

A bag contains 12 red marbles and 4 blue marbles.

What is the ratio, written in lowest terms, of red marbles to the total number of marbles in the bag?

A.
1 to 4

B.
1 to 3

C.
2 to 3

D.
3 to 4

Answer 1

Hi there!

So there are 12 red marbles in the bag, then how many total marbles are there?

Remember, ratios are simply fractions

Answer 2

how many marbles are in the bag?

Answer 3

16 marbles are in the bag

Answer 4

right. So therefore, if you're trying to find a ratio of red marbles to total marbles, you would have a numerator of the number of red marbles (12) and a denominator of total amount of marbles (16)

Answer 5

So thus far, your ratio would look like this: \(\Large\frac{12}{16}\)

Answer 6

ur welcome

Answer 7

@qwertyboy56 Please DO NOT provide direct answers. It is against the rules here

Answer 8

oh srry

Answer 9

@HELLOMYNAMEISKAM you following me so far?

Once you have the fraction of \(\Large\frac{12}{16}\) , then this can be simplified to find the answer

Answer 10

its right tho

Answer 11

yeah. @Jamierox4ev3r

Answer 12

true... srry

Answer 13

Don't feel too bad, just as long as you don't do it again :)

and as for the problem, the fastest way to simplify this is to find a greatest common factor. What is a number that you could divide both 12 and 16 by?

Answer 14

2

Answer 15

Factors of 12: 1,2,3,4,12
Factors of 16: 1,2,4,8,16

Yes, 2 is a factor that both of these numbers share. However, 4 is a factor that is greater and works for more numbers, so this will probably lead us to the correct answer faster
Does that make sense?

Answer 16

yh

Answer 17

alright :)

so if you divide 12 by 4, and 16 by 4, which fraction do you get?

Answer 18

i got 12/4=3 16\4=4

Answer 19

yep. so that would give you a fraction of \(\Large\frac{3}{4}\). And that is the final simplified ratio :)

Answer 20

ok thanks