Multiplication and Division of Signed Mumbers: Dividing numbers with different signs

Due to the fact that we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

Therefore:

$-(10:5)=-2$

Given that we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

First, let's convert 0.4 to a simple fraction:

$0.4=\frac{4}{10}$

Now we have the problem:

$-(24:\frac{4}{10})=$

Let's convert the division to multiplication, remembering to switch the numerator and denominator:

$-(24\times\frac{10}{4})=$

We'll simplify by 4 as follows:

$-(6\times10)=-6\times10=-60$

Firstly we need to realise that since we are dividing two negative numbers, the result must be a positive number.

$+:-=-$

Next, let's convert 0.05 into a simple fraction:

$-0.05=-\frac{5}{100}$

We are left with:

$-(3:\frac{5}{100})=$

Then let's convert the division into multiplication, remembering to switch the numerator and denominator:

$-(3\times\frac{100}{5})=$

Finally we can continue solving to find the answer:

$-(3\times20)=-60$

Since we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

First, let's convert the numbers in the exercise to simple fractions:

$0.9=-\frac{9}{10}$

$0.15=\frac{15}{100}$

Resulting in the following exercise:

$-(\frac{9}{10}:\frac{15}{100})=$

Let's convert the division to multiplication, don't forget to switch between numerator and denominator:

$-(\frac{9}{10}\times\frac{100}{15})=$

Let's reduce by 10 and obtain the following:

$-(9\times\frac{10}{15})=$

Let's combine into one exercise:

$-(\frac{9\times10}{15})=-\frac{90}{15}$

Let's break down 90 into a multiplication exercise:

$-\frac{3\times30}{15}=$

Let's reduce the numerator and denominator by 15 and obtain:

$-3\times2=-6$