### Instruction: Jeremy's friend Steven will pay him $\dfrac{11}{2}$ dollars for every room he cleans. Yesterday, Jeremy cleaned $\dfrac{7}{3}$ rooms. How many dollars does Steven owe Jeremy? Leave your answer in fraction form.### Response: To find how many dollars Steven owes Jeremy, I need to multiply the rate of pay by the number of rooms cleaned.
That means I need to multiply $\dfrac{11}{2}$ by $\dfrac{7}{3}$.
To multiply fractions, I can multiply the numerators and multiply the denominators.
So, $\dfrac{11}{2} \times \dfrac{7}{3} = \dfrac{11 \times 7}{2 \times 3}$.
Simplifying the numerators and denominators, I get $\dfrac{77}{6}$.
This is the exact answer, but I can also convert it to a mixed number if I want to.
To do that, I need to divide the numerator by the denominator and write the quotient and the remainder as a whole number and a fraction.
So, $\dfrac{77}{6} = 12 \dfrac{5}{6}$.
Either way, the answer is in fraction form, as the problem asked.