Question

1. rewrite the division problem as a multiplication problem.

$6\div \frac{3}{5} = ?$ ... can be written as ...

1. decompose the proper fraction in your multiplication problem above and solve for the question mark.

Explanation:

1. Rewrite the division problem as a multiplication problem

Step1: Recall the rule for dividing by a fraction

To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{3}{5}$ is $\frac{5}{3}$.
So, $6\div\frac{3}{5}$ can be rewritten as $6\times\frac{5}{3}$.

2. Decompose the proper fraction in the multiplication problem and solve

Step1: Decompose the fraction (or simplify the multiplication)

We can decompose the multiplication $6\times\frac{5}{3}$ by first simplifying. We know that 6 and 3 have a common factor of 3.
Divide 6 by 3: $6\div3 = 2$.
Now the problem becomes $2\times5$.

Step2: Multiply the remaining numbers

$2\times5 = 10$.

Answer:

1. The division problem $6\div\frac{3}{5}$ rewritten as a multiplication problem is $6\times\frac{5}{3}$.
2. The value of $6\div\frac{3}{5}$ is 10.