Question

How many $\dfrac{2}{3}$ cup sugar bowls can be filled from $8$ cups of sugar?

Answer 1

Hint: Here we are given that we need to fill from $8$ cups of sugar $\dfrac{2}{3}$ cup sugar bowls and we need to calculate the number of cups that can be filled. So we know that when we are given to fill $m$ cup sugar bowls from $n$ then we will get $\dfrac{n}{m}$ cups that can be filled. Hence we can $\dfrac{2}{3}$this and say that $n = 8,m = \dfrac{2}{3}$.

Complete step by step solution:
Here we are given that we need to fill from $8$ cups of sugar $\dfrac{2}{3}$ cup sugar bowls and we need to calculate the number of cups that can be filled. So this can be made clearer with one example. For example: If we need to calculate the number of $2{\text{'s}}$ that can be added to get the digit $8$ then we can get it as $4$ because $4{\text{ 2's}}$ make $8$ and this we have got from dividing $8{\text{ by 2}}$.
Similar $\dfrac{2}{3}$ cup sugar bowls are needed to be filled from $8$ cups of sugar.
So we have come to know that when we are given to fill $m$ cup sugar bowls from $n$ then we will get $\dfrac{n}{m}$ cups that can be filled. Hence we can compare this and say that $n = 8,m = \dfrac{2}{3}$.
So let us substitute the values of $n = 8,m = \dfrac{2}{3}$ in $\dfrac{n}{m}$ in order to get number of $\dfrac{2}{3}$ cup sugar bowls that can be filled. So we get:

Number of bowls that can be filled$ = $$\dfrac{n}{m} = 8 \div \dfrac{2}{3} = 8 \times \dfrac{3}{2} = \left( 4 \right)\left( 3 \right) = 12$.

Note:
Here the student must try to understand the question carefully and understand what it is asking for. Hence in these types of problems we just need to divide the total number of cups that are present by the fraction of the bowl that is to be obtained to get the number of those cups to be obtained.