Solve -49÷(-7)×3×(-1/4): Multiple Operations with Negative Numbers

Let's begin by writing the division exercise as a simple fraction:

$\frac{-49}{-7}\times3\times(-\frac{1}{4})=$

Note that we are dividing between two negative numbers, therefore the result must be positive:

$\frac{49}{7}\times3\times(-\frac{1}{4})=$

Let's proceed to solve the division exercise:

$7\times3\times-\frac{1}{4}=$

Let's now solve the exercise from left to right:

$7\times3=21$

We should obtain the following exercise:

$21\times-\frac{1}{4}=$

Note that we are multiplying a positive number by a negative number, therefore the result must be a negative number:

$-\frac{21}{4}$

Let's write the result as a mixed fraction:

$-\frac{21}{4}=-5\frac{1}{4}$