6 ÷ 

Here, we have to divide 1⁄6 by 2.
We have,
1⁄6 ÷ 2
= 1⁄6 × ½
= 1⁄12.
Hence , the correct option is A.

Here, we have to divide 2 by 4/7.
We have, 2 ÷ 4⁄7
= 2 × 7⁄4
= 14⁄4.
Hence, the correct option is C.

Here, we have to divide 4 by ¼.
We have, 4 ÷ ¼
= 4×4
=16.
Hence, the correct option is B.

Here, we have to divide 5 by 1⁄6.
We have , 5 ÷ 1⁄6
= 5×6
= 30.
Hence, the correct option is B.

Here, it is given that John has 12 gallons of water to fill buckets and each bucket takes 1/3 gallons of water. we have to find the number of buckets that John can fill.
Let the number of buckets that John can fill be x.
Then, x × 1⁄3 = 12
=> x = 12 ÷ 1⁄3
=> x = 12×3
=> x =36.
Hence, John can fill 36 buckets and the correct option is C.

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 
Thus, option (a) is the correct option.

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 
Thus, option (a) is the correct option.

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 
Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator by the HCF [ Highest Common Factor] of both the numbers, i.e., 5 in this question.
Hence, we get .
Thus, the correct option is option (a)

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 
Thus, the correct option is option(b).

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 
Thus, option (b) is the correct option.

Step by step solution:
Given,
total weight of plums and grapes =  pounds
weight fraction of the plums = 
Thus, weight of the plums = 
= 
=  =  =  (in its simplest form)
Thus, the plums' weight is  pounds.
Thus, option (d) is the correct option.

Step by step solution:
Given,
Chloe had of a pizza left.
the fraction of pizza Addie ate from Chloe = 
Therefore, the amount of pizza Chloe had = 
= 
=  = 
 in its simplest form is .
Hence, the fraction of pizza that Addie had is  or .
Hence, option (a) is the correct option.

Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question,
 (answer)
Thus, the correct option is option(a)

Step by step solution:
Given, 
Let us consider the number required to be found as 'x'.
Now, the equation becomes 
Now, we all know that in fraction division, we can simply reciprocate the number to the right of the '' sign and replace the '' sign with 'x' sign and perform multiplication.
Therefore, 
Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.
Thus, we get x =  which is the required answer.
Hence, option (d) is the correct option.