Question

Error Analysis  Mario has 7 cups of milk. A​ one-batch recipe for pancakes calls for two thirds cup of milk. To see how many batches he could​ make, Mario finds 7 divided by two thirds . He said that because 7 divided by two thirds equalsone seventh times three halves ​, he could make three fourteenths of a batch . What was his ​error? How many batches could he ​make?

A.
He multiplied the dividend by the divisor.
B.
He multiplied the reciprocal of the dividend by the divisor.
C.
He multiplied the dividend by the reciprocal of the divisor.
D.
He multiplied the reciprocal of the dividend by the reciprocal of the divisor.

Answer 1

c

Explanation:

Answer 2

`\bf 7/ \cfrac{2}{3}\implies 7\cdot \cfrac{3}{2}\implies \cfrac{7\cdot 3}{2}\implies \cfrac{21}{2}\implies 10(1)/(2)~~\checkmark \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{so, what happened to Mario?}}{7/ \cfrac{2}{3}\implies \cfrac{7}{1}/ \cfrac{2}{3}}\implies \stackrel{\boxed{?}}{\cfrac{1}{7}}\cdot \cfrac{3}{2}\implies \cfrac{3}{14}~~\bigotimes`

he ended up multiplying the 7 by the 2 for some reason.

and an explanation could be he used the reciprocal of both numbers mistakenly.