Answer :
The correct answer is:
green and blue.
Explanation:
We want to see which fractions [tex] \frac{3}{4} [/tex] is a multiple of. We know that [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{4} [/tex], because [tex] \frac{1}{4} [/tex]*3=[tex] \frac{3}{4} [/tex].
We can divide fractions to determine if [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{2} [/tex]:
[tex] \frac{ \frac{3}{4}}{ \frac{1}{2}} [/tex];
in order to divide fractions, flip the second one and multiply:
[tex] \frac{3}{4} [/tex])*[tex] \frac{2}{1} [/tex]=[tex] \frac{6}{4} [/tex]=1 [tex] \frac{1}{2} [/tex].
This did not divide evenly, so [tex] \frac{3}{4} [/tex] is not a multiple of 1/2.
Checking to see if [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{8} [/tex], [tex] \frac{ \frac{3}{4}}{ \frac{1}{8}} [/tex];
flip the second one and multiply:
[tex] \frac{3}{4} [/tex]*[tex] \frac{8}{1} [/tex]=[tex] \frac{24}{4} [/tex]=6.
This divided evenly, so [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{8} [/tex].
green and blue.
Explanation:
We want to see which fractions [tex] \frac{3}{4} [/tex] is a multiple of. We know that [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{4} [/tex], because [tex] \frac{1}{4} [/tex]*3=[tex] \frac{3}{4} [/tex].
We can divide fractions to determine if [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{2} [/tex]:
[tex] \frac{ \frac{3}{4}}{ \frac{1}{2}} [/tex];
in order to divide fractions, flip the second one and multiply:
[tex] \frac{3}{4} [/tex])*[tex] \frac{2}{1} [/tex]=[tex] \frac{6}{4} [/tex]=1 [tex] \frac{1}{2} [/tex].
This did not divide evenly, so [tex] \frac{3}{4} [/tex] is not a multiple of 1/2.
Checking to see if [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{8} [/tex], [tex] \frac{ \frac{3}{4}}{ \frac{1}{8}} [/tex];
flip the second one and multiply:
[tex] \frac{3}{4} [/tex]*[tex] \frac{8}{1} [/tex]=[tex] \frac{24}{4} [/tex]=6.
This divided evenly, so [tex] \frac{3}{4} [/tex] is a multiple of [tex] \frac{1}{8} [/tex].
Answer: Hello there!
As we know, each 1/2 mile there is a red ribbon, each 1/8 mile there is a green ribbon, and each 1/4 mile there is a blue ribbon.
We want to know which color of ribbons is in the 3/4 mile marker.
then we need to see if 3/4 is a multiple of some of the previous numbers.
Start with the red ribbons, we need to see the quotient between 3/4 and 1/2, if the result is a whole number, then 3/4 is a multiple of 1/2
this is q = (3/4)/(1/2) = (3/4)*2 = 6/4
here we haven't a whole number, then there is no red ribbon at the 3/4 mile marker.
now with the green ones:
(3/4)/(1/8) = (3/4)*8 = 24/4 = 6
there we have a whole number, this means that at the 3/4 mile marker, we will see the sixth green ribbon, then we have a green ribbon in this marker.
now with the blue:
(3/4)/(1/4) = (3/4)*4 = 3
At the 3/4 mile marker, we will see the third blue ribbon, then there is a blue ribbon in this marker.
Then we know that in the 3/4 mile marker, there are a green and a blue ribbon.
