Solve Multiple Operations: 400×(-4)÷(-16)÷(-6) Step-by-Step

Let's write the exercise in the following form:

$\frac{400\times(-4)}{-16}:-6=$

Let's factor -16 in the denominator as a multiplication exercise:

$\frac{400\times(-4)}{4\times(-4)}:-6=$

Let's reduce -4 in both the numerator and denominator and get:

$\frac{400}{4}:-6=$

Let's factor the 100 in the numerator as a multiplication exercise:

$\frac{100\times4}{4}:-6=$

Let's reduce the 4 in both the numerator and denominator and get:

$100:-6=$

Let's write the exercise as a fraction:

$\frac{100}{-6}=$

Note that we are dividing a positive number by a negative number, therefore the result must be negative.

Let's factor the 100 as an addition exercise:

$-\frac{96+4}{6}=$

Let's write the exercise in the following way:

$-(\frac{96}{6}+\frac{4}{6})=$

Let's solve the first fraction and in the second fraction let's factor the numerator and denominator as multiplication exercises:

$-(16+\frac{2\times2}{2\times3})=$

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

$-(16+\frac{2}{3})=$

Let's pay attention to the appropriate sign since we are multiplying by a negative number:

$-16\frac{2}{3}$