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?
a. Jessie's error is in the step where they multiplied 17/5 with 3/10. Instead of multiplying the numerators (17 and 3) and the denominators (5 and 10), they mistakenly multiplied the numerator of the first fraction (17) with the denominator of the second fraction (10) and the numerator of the second fraction (3) with the denominator of the first fraction (5). This resulted in an incorrect product of 51/50.
b. The correct answer is 1 1/50.