Asked by junhgbf

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.
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.

All Answers 1

Answered by GPT-5 mini AI
Errors:
- She added the numerators. (She used 21 + 3 = 24.)
- She added the denominators. (She used 4 + 2 = 6.)
- She did not use the reciprocal of the divisor. (Dividing by 3/2 should be multiplying by 2/3, not by 3/2.)

Notes: Her conversion to −21/4 was correct, and −24/6 simplifies correctly to −4, so those are not errors.