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.

Esmerelda did not use the reciprocal of the divisor.

Step-by-step explanation:

A complex fraction is another way to show division of two fractions.  In this case, we are dividing -5 1/4 by 3/2.

We first convert -5 1/4 to an improper fraction.  To do this, multiply the whole number by the denominator; this gives us -5(4) = -20.  Then add the -1 (negative since the fraction is negative); this gives us -21/4.

This means we are dividing -21/4 by 3/2.

To divide fractions, we multiply by the reciprocal; this means we flip the second fraction and multiply.  We would then multiply -21/4 by 2/3.  This is the step Esmerelda did not do.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !