Question

question 22 of 60
a construction company needs to remove 30 tons of dirt from a construction site. they can remove \\(\frac{3}{5}\\) tons of dirt each hour. how long will take to remove the dirt?
write your answer in simplest form.

question 23 of 60
multiply. write your answer as a fraction in simplest form.
\\(\frac{8}{3} \times \frac{7}{6}\\)

question 24 of 60
multiply.
\\(\frac{2}{9} \times \frac{4}{9}\\)

question 25 of 60
find the reciprocals of the numbers below.
the reciprocal of \\(\frac{1}{9}\\) is \\(square\\).
the reciprocal of 19 is \\(square\\).

question 26 of 60
divide. write your answer in simplest form.
\\(\frac{7}{12} \div \frac{2}{9}\\)

Explanation:

Question 22

Step1: Identify the formula

Time = Total amount / Rate, so \( \text{Time} = 30 \div \frac{3}{5} \)

Step2: Divide by a fraction

Dividing by a fraction is multiplying by its reciprocal: \( 30 \times \frac{5}{3} \)

Step3: Calculate

\( 30 \times \frac{5}{3} = 10 \times 5 = 50 \)

Step1: Multiply numerators and denominators

\( \frac{8}{3} \times \frac{7}{6} = \frac{8 \times 7}{3 \times 6} \)

Step2: Simplify

\( \frac{56}{18} = \frac{28}{9} \)

Step1: Multiply numerators and denominators

\( \frac{2}{9} \times \frac{4}{9} = \frac{2 \times 4}{9 \times 9} \)

Step2: Calculate

\( \frac{8}{81} \) (already in simplest form)

Answer:

50 hours

Question 23