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=
17x3
17/5 x 3/10= ---------
5x10
51/10 = 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?
Please please please help! Last question on the Multiply and Divide Fractions Test! PLEASE!
a. Jessie's error is in the first step where they incorrectly converted the mixed number 3 2/5 into an improper fraction. The correct conversion should be 3 + 2/5 = (3*5 + 2)/5 = 17/5.
b. To correctly divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The correct calculation should be:
(17/5) * (10/3) = (17*10) / (5*3) = 170/15 = 34/3.
Therefore, the correct answer is 34/3, which can also be written as 11 1/3.