Question

Jessie was given the problem 3 2/5 ÷ 3/10 =
to solve. Jessie's work looks like this:

Answer 1

To solve the problem, Jessie's work would look like this:

Step 1: Convert the mixed number 3 2/5 to an improper fraction.
3 2/5 = (5 * 3 + 2)/5 = 17/5

Step 2: Rewrite the problem as a multiplication problem by multiplying by the reciprocal of the divisor.
17/5 ÷ 3/10 = 17/5 * 10/3

Step 3: Simplify the multiplication problem by multiplying the numerators together and the denominators together.
(17 * 10)/(5 * 3) = 170/15

Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 170 and 15 is 5.
170 ÷ 5 = 34 and 15 ÷ 5 = 3
Therefore, the simplified fraction is:
170/15 = 34/3

So the answer to the problem is 34/3 or 11 1/3 in mixed number form.