Answer:
2 mugs.
Step-by-step explanation:
We have been given that Ron made [tex]\frac{2}{3}[/tex] of a quart of hot chocolate. Each mug holds [tex]\frac{1}{3}[/tex] of a quart.
To find the number of mugs that can be filled by [tex]\frac{2}{3}[/tex] quart of hot chocolate, we will divide [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{3}[/tex] as:
[tex]\frac{2}{3}\div\frac{1}{3}[/tex]
Now, we will convert the division problem to multiplication problem by flipping the 2nd fraction as:
[tex]\frac{2}{3}\times\frac{3}{1}[/tex]
[tex]\frac{2\times 3}{3\times 1}[/tex]
[tex]\frac{2\times1}{1\times 1}[/tex]
[tex]2[/tex]
Therefore, Ron will be able to fill 2 mugs.
