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. Find and describe Jessie’s error. The correct answer is 11 1/3 by the way.
Jessie's error occurred when she multiplied 17/5 by 3/10. She incorrectly multiplied the numerators (17 and 3) together and the denominators (5 and 10) together instead of multiplying the numerator of one fraction by the denominator of the other fraction.
The correct calculation should have been:
(17/5) * (3/10) = (17 * 3) / (5 * 10) = 51/50
However, Jessie made the mistake of multiplying the numerators (17 * 3 = 51) and denominators (5 * 10 = 50) directly without cross multiplying. This error led her to the incorrect answer of 51/50 instead of the correct answer of 11 1/3.