Respuesta :

We need to find the quotient of 120 and 60 to the quotient of 72 and 9

Step 1 : Let's find the quotient of 120 and 60, which is equal to 120/60 =2

Step 2 : Let's find the quotient of 72 and 9, which is 72/9 = 8

Therefore, the quotient of 120 and 60 to the quotient of 72 and 9 = 2/8 =1/4

Hence, the correct answer of the given problem is 1/4.

Hope this helps ..!!


Given problem is "The quotient of 120 and 60 to the quotient of 72 and 9"

Which can be written as:

[tex] \frac{\frac{120}{60}}{\frac{72}{9}} [/tex]

Now we have to simplify this problem

We can start by flipping the bottom fraction and multiply it with the top fraction, which gives:

[tex] = \frac{120}{60}*\frac{9}{72} [/tex]

[tex] = \frac{120*9}{60*72} [/tex]

[tex] = \frac{1080}{4320} [/tex]

divide top and bottom by 1080 to reduce this fraction

[tex] = \frac{1}{4} [/tex]

Hence final answer is [tex] \frac{1}{4} [/tex].