Question

Esmerelda simplified a complex fraction. Her work is shown below. Negative 5 and one-fourth divided by three-halves = negative StartFraction 21 over 4 EndFraction divided by three-halves = (Negative StartFraction 21 over 4 EndFraction) (Three-halves) = Negative StartFraction 24 over 6 EndFraction = negative 4

Answer 1

B,C,E

Explanation:

Answer 2

Given:

The complex fraction is

`(-5(1)/(4))/((3)/(2))`

Esmerelda simplified a complex fraction and steps are given.

To find:

The mistake of Esmerelda.

Solution:

We have,

`(-5(1)/(4))/((3)/(2))`

Convert the mixed fraction in improper fraction.

`(-5(1)/(4))/((3)/(2))=(-(5* 4+1)/(4))/((3)/(2))`

`(-5(1)/(4))/((3)/(2))=(-(20+1)/(4))/((3)/(2))`

`(-5(1)/(4))/((3)/(2))=(-(21)/(4))/((3)/(2))`

Use the reciprocal of the divisor.

`(-5(1)/(4))/((3)/(2))=-(21)/(4)* (2)/(3)`

`(-5(1)/(4))/((3)/(2))=-(21* 2)/(4* 3)`

`(-5(1)/(4))/((3)/(2))=-(42)/(12)`

`(-5(1)/(4))/((3)/(2))=-(7)/(2)`

Therefore, the correct value of given fraction is
`-(7)/(2)`.

Three mistakes of Esmerelda are:

1. Esmerelda added the numerators.

2. Esmerelda added the denominators.

3. Esmerelda did not use the reciprocal of the divisor.