Multiplication and Division of Signed Mumbers: Division between negative numbers

Let's break down 5.4 into a subtraction exercise as follows:

$-5.4=-5-0.4$

Now let's convert the exercise into subtraction with fractions:

$-5-\frac{4}{10}=-5\times\frac{10}{10}-\frac{4}{10}=-\frac{50}{10}-\frac{4}{10}$

Let's combine the subtraction exercise between the fractions into one fraction:

$\frac{-50-4}{10}=-\frac{54}{10}$

Let's write the second decimal fraction as a simple fraction:

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

Now the exercise we got is:

$-\frac{54}{10}:-\frac{9}{10}=$

Let's convert the division exercise into multiplication, and don't forget to switch between the numerator and denominator in the second fraction:

$-\frac{54}{10}\times-\frac{10}{9}=$

Let's reduce the 10 in both fractions and we get:

$+\frac{54}{9}=6$

Let's convert 66.6 to a simple fraction:

$-66.6\times\frac{10}{10}=-\frac{666}{10}$

Let's convert 0.6 to a simple fraction:

$-0.6=-\frac{6}{10}$

Now the exercise we received is:

$-\frac{666}{10}:-\frac{6}{10}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

$-\frac{666}{10}\times-\frac{10}{6}=$

Let's reduce the 10 in both fractions and we get:

$+\frac{666}{6}=$

Let's factor 666 into a multiplication exercise:

$\frac{6\times111}{6}=$

Let's reduce the 6 in the numerator and denominator of the fraction and we get:

$+111$

First, let's write the exercise in the form of a simple fraction:

$\frac{-35}{-7}=$

Now let's factor 35 in the numerator:

$\frac{-7\times5}{-7}=$

Since we have negative numbers in the numerator and denominator of the fraction, the result of the fraction will necessarily be positive.

Let's simplify between the 7 in the numerator and denominator of the fraction, and we get:

$+5$

Let's convert 1.8 to a simple fraction:

$-1.8=-\frac{18}{10}$

Let's convert 0.09 to a simple fraction:

$-0.09=-\frac{9}{100}$

Let's multiply the first fraction we got by 10 to get a common denominator of 100:

$-\frac{18}{10}\times\frac{10}{10}=-\frac{180}{100}$

Now the exercise we got is:

$-\frac{180}{100}:-\frac{9}{100}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

$-\frac{180}{100}\times-\frac{100}{9}=$

Let's reduce the 100 in both fractions and we get:

$+\frac{180}{9}=$

Let's break down 180 into a multiplication exercise:

$\frac{9\times20}{9}=$

Let's reduce the 9 in both the numerator and denominator of the fraction and we get:

$+20$

First, let's write the exercise in the form of a simple fraction:

$\frac{-19}{-76}=$

Since we have negative numbers in both the numerator and denominator of the fraction, the result of the fraction will necessarily be positive.

Now let's break down the 76 into a multiplication exercise:

$\frac{19}{19\times4}=$

We'll reduce between the 9 in the numerator and denominator of the fraction and get:

$+4$

Let's convert 5.8 to a simple fraction:

$-5.8=-\frac{58}{10}$

Let's convert 3.4 to a simple fraction:

$-3.4=-\frac{34}{10}$

Now the exercise we got is:

$-\frac{58}{10}:-\frac{34}{10}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

$-\frac{58}{10}\times-\frac{10}{34}=$

Let's reduce the 10 in both fractions and we get:

$+\frac{58}{34}=$

Let's break down the numerator and denominator into multiplication exercises:

$\frac{2\times29}{2\times17}=$

Let's reduce the 2 in both the numerator and denominator of the fraction and we get:

$\frac{29}{17}$

Let's convert 1.4 to a simple fraction:

$-1.4=-\frac{14}{10}$

Let's convert 7 to a simple fraction:

$-7=-\frac{7}{1}$

Now the exercise we got is:

$-\frac{14}{10}:-\frac{7}{1}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to swap the numerator and denominator in the second fraction:

$-\frac{14}{10}\times-\frac{1}{7}=$

Let's combine into one multiplication exercise:

$+\frac{14\times1}{10\times7}=\frac{14}{10\times7}=$

Let's break down 14 into a multiplication exercise:

$\frac{2\times7}{10\times7}=$

Let's reduce the 7 in both the numerator and denominator and get:

$\frac{2}{10}=$

Let's break down 10 into a multiplication exercise:

$\frac{2}{2\times5}=$

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

$5$

Let's write the exercise as a fraction:

$\frac{-8}{-12}=$

We'll break down the numerator and denominator into multiplication exercises:

$\frac{-4\times2}{-4\times3}=$

We'll simplify the 4 in the numerator and denominator of the fraction and get:

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

Let's remember that when we divide a negative number by a negative number, the result will always be positive.

Therefore, the answer is:

$\frac{2}{3}$

Let's write the exercise in the form of a simple fraction:

$\frac{-9}{-3}=$

We'll factor the numerator of the fraction into a multiplication exercise:

$\frac{-3\times3}{-3}=$

We'll cancel out the 3 in the numerator and denominator of the fraction.

Let's remember that since we are dividing a negative number by a negative number, the result will necessarily be a positive number.

Therefore, the answer is:

$3$

Let's convert 0.3 to a simple fraction:

$-0.3=-\frac{3}{10}$

Let's convert 0.8 to a simple fraction:

$-0.8=-\frac{8}{10}$

Now the problem we received is:

$-\frac{3}{10}:-\frac{8}{10}=$

Let's convert the division problem to a multiplication problem, and don't forget to switch the numerator and denominator in the second fraction:

$-\frac{3}{10}\times-\frac{10}{8}=$

Let's simplify the 10 and we get:

$\frac{3}{8}$