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 What errors did Esmerelda make? Select three options.

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Answer:

A. Esmeralda converted the mixed number to the wrong improper fraction.

D. Esmeralda did not divide –24 by 6 correctly.

E.  Esmeralda did not use the reciprocal of the divisor.

Step-by-step explanation:

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Evaluating Esmerald's simplified expression, the errors in her evaluation are :

  • Esmerelda did not use the reciprocal of the Divisor.

  • Esmerelda added the numerator

  • Esmerelda added the denominator

The appropriate evaluation procedure should be :

[tex]\frac{-5\frac{1}{4}}{\frac{3}{2}}[/tex]

Convert the Numerator to an improper fraction

[tex]\frac{\frac{21}{4}}{\frac{3}{2}}[/tex]

Take the reciprocal of the denominator

[tex]\frac{3}{2} = \frac{2}{3} [/tex]

Multiply the Numerator by the reciprocal of the denominator

[tex](-\frac{21}{4} )(\frac{2}{3}) = - \frac{42}{12} = -3 \frac{1}{2}[/tex]

Therefore, Esmeralda made three errors in her simplification procedure.

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