Question

HELP Esmerelda simplified a complex fraction. Her work is shown below. What errors did Esmerelda make? Check all that apply. Esmerelda converted the mixed number to the wrong improper fraction. Esmerelda added the numerators. Esmerelda added the denominators. Esmerelda did not divide –24 by 6 correctly. Esmerelda did not use the reciprocal of the divisor.

Answer 1

Esmerelda did not use the reciprocal of the divisor.

Esmerelda added the numerators.

Esmerelda added the denominators.

Step-by-step explanation:

Note: This question is not complete as it omitted the work of Esmerelda. Her work is therefore provide to complete the question as follows:

`(-5(1)/(4) )/((3)/(2) ) = (-(21)/(4) )/((3)/(2) ) =(-(21)/(4))((3)/(2)) = -(24)/(6) = -4`

The explanation of the answer is now provided as follows:

Esmerelda did not use the reciprocal of the divisor

This is corrected by using the reciprocal of the divisor as follows:

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

Esmerelda added the numerators and Esmerelda added the denominators

These two are corrected together by multiplying the numerators separately and and multiplying the denominators separately as follows:

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

Based on the above, the correct answer of the work of Esmerelda can be obtained as follows:

`(-5(1)/(4) )/((3)/(2) ) = (-(21)/(4) )/((3\\)/(2) ) =(-(21)/(4))((2)/(3)) = -(21*2)/(4*3) =- (42)/(12) = -3(1)/(2)`

The final answer can also be provided in 2 decimal places as follows:

`(-5(1)/(4) )/((3)/(2) ) = (-(21)/(4) )/((3\\)/(2) ) =(-(21)/(4))((2)/(3)) = -(21*2)/(4*3) =- (42)/(12) = -3(1)/(2) = -3.50`