Solve the Equation: (-?/4)×38÷(-9)=-5

Let's add 38 to the multiplication exercise in the fraction in the following way:

$\frac{?\times38}{-4}:-9=-5$

Let's multiply by minus 9:

$\frac{?\times38}{-4}=-5\times-9$

Let's multiply by minus 4:

$?\times38=-5\times-9\times-4$

Let's solve the right side first.

Note that we are first multiplying between two negative numbers, so the result must be a positive number:

$-5\times-9=+45$

Now we are multiplying a positive number by a negative number, so the result must be a negative number:

$45\times-4=-180$

Now we got the exercise:

$38?=-180$

Let's divide by 38:

$?=-\frac{180}{38}$

Let's break down 180 and 38 into multiplication exercises:

$?=-\frac{2\times90}{2\times19}$

Let's reduce between the 2 in the numerator and denominator:

$?=-\frac{90}{19}$