Respuesta :
Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.
What is the algorithm to divide a number by a fraction?
To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.
Taking the following division of fractions as an example, we have that:
(a/b)/(c/d).
The numerator is given by a/b.
The denominator is given by c/d.
The inverse of the denominator is d/c. (to find the inverse of a fraction, we exchange the numerator by the denominator).
Hence the quotient is:
a/b x d/c.
For this problem, the division is:
x/(-5/12).
Hence:
The numerator is given by x.
The denominator is given by -5/12.
The inverse of the denominator is -12/5.
Thus the quotient is given by:
-12x/5.
Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.
earn More about of division here
https://brainly.com/question/28672989
#SPJ4
