Multiply and Divide Fractions Unit Test

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

3 2/5÷3/10=

17/5÷3/10=

17/5⋅3/10=17⋅3 / 5⋅10

51/50=1 1/50

Jessie’s answer is incorrect. Answer the following questions about Jessie’s work.

a. Find and describe Jessie’s error.

b. What is the correct answer?​​​​​​

(4 points)

a. Jessie's error is in the last step where she multiplied the fractions incorrectly. Instead of multiplying the numerators (17 and 3) and the denominators (5 and 10), she multiplied the whole numbers (17 and 3) and then the fractions (5 and 10).

b. The correct answer is:

(17/5) * (3/10) = (51/50) or 1 1/50