Question

Several batches of stew were made yesterday. Each batch required 1 2/3 pounds of meat. All together, 10 5/6 pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown When she checked the answer by estimating, it did not make sense. What error did Janice make?

A Janice converted a mixed number to the wrong improper fraction.
B Janice added the numerators and denominators instead of multiplying.
C Janice did not change the division problem to multiplication.
D Janice did not convert the improper fraction to a mixed number correctly in the answer

her work:


10 5/6 ÷ 1 2/3

=65/6 ÷ 5/2

=65/6 x 2/5

=130/30

= 4 1/3

Answer 1

Janice converted a mixed number to the wrong improper fraction.

Explanation:

Answer 2

Option A is the correct choice.

Explanation:

Let us see the given steps of Janice's solution to find error made by her.

1.
`10(5)/(6)/ 1(2)/(3)`

We can find the number of stew batches by dividing total amount of meat used by amount of meat needed for each batch.

We have been given that
`10(5)/(6)` pounds of meat was used and each batch required
`1(2)/(3)` pounds of meat, therefore, 1st step is correct.

2.
`=(65)/(6) * (5)/(2)`

Upon converting our mixed fractions to improper fractions we will get,

`=(65)/(6) * (5)/(3)`

We can see that Janice converted
`1(2)/(3)` to
`(5)/(2)`, which is not correct. Janice wrote 2 in the denominator of second mixed fraction instead of 3.

Janice converted a mixed number to the wrong improper fraction, therefore, option A is the correct choice.