Multiplication and Division of Signed Mumbers: Decimal numbers

Write the expression in the form of a simple fraction:

$\frac{19.4}{0}=$

Since it is not possible to divide a number by 0, the expression has no meaning.

Write the expression in the form of a simple fraction:

$\frac{-13.8}{0}=$

Since it is not possible to divide a number by 0, the expression has no meaning.

Note that we are dividing two negative numbers, which means that the result of the exercise must be a positive number.

Now let's rewrite the exercise in the form of a simple fraction:

$\frac{34.597}{1}=$

Remembering the rule:

$\frac{x}{1}=x$

Any number divided by -1 equals the negative of itself, therefore:

$\frac{34.597}{1}=34.597$

Note that we are dividing two negative numbers, so the result must be a positive number.

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

$\frac{0.3}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{0.3}{1}=0.3$

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

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

$\frac{3.8}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{3.8}{1}=3.8$

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

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

$\frac{94.7}{1}=$

Remember the rule:

$\frac{x}{1}=x$

Any number we divide by 1 will be equal to itself, therefore:

$\frac{94.7}{1}=94.7$

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:

$\frac{3}{8}$

Let's begin by converting 1.4 into a simple fraction:

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

Let's now convert 7 into a simple fraction:

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

The resulting exercise is as follows:

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

Let's proceed to convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

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

Let's now combine into one multiplication exercise:

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

Let's proceed to break down 14 into a multiplication exercise:

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

Next let's reduce the 7 in both the numerator and denominator obtaining the following:

$\frac{2}{10}=$

Let's proceed to break down the 10 into a multiplication exercise:

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

Finally let's reduce the 2 in both the numerator and denominator to obtain the following solution:

$5$

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

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

Let's now convert 3 into a simple fraction:

$3=\frac{3}{1}$

Now the exercise we have is:

$\frac{4}{10}:\frac{3}{1}=$

Next, let's convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

$\frac{4}{10}\times\frac{1}{3}=$

Let's now combine everything into one multiplication exercise:

$\frac{4\times1}{10\times3}=\frac{4}{30}$

We can now break down the numerator and denominator into multiplication exercises:

$\frac{2\times2}{15\times2}=$

Finally, we reduce the 2 in the numerator and denominator to get:

$\frac{2}{15}$

Let's convert 66.6 into a simple fraction:

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

Let's then convert 0.6 into a simple fraction:

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

Now the exercise we have is:

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

Let's next convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

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

Let's now reduce the 10 in both fractions to get:

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

next, we'll factor 666 into a multiplication exercise:

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

Finally, we reduce the 6 in the numerator and denominator of the fraction to get:

$+111$

Let's begin by converting 4.8 to a simple fraction:

$4.8=\frac{48}{10}$

Next let's convert 3 to a simple fraction:

$3=\frac{3}{1}$

The resulting exercise is as follows:

$\frac{48}{10}:\frac{3}{1}=$

Let's proceed to convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

$\frac{48}{10}\times\frac{1}{3}=$

Let's now combine the above exercise into one multiplication exercise:

$\frac{48\times1}{10\times3}=\frac{48}{10\times3}=$

Next let's break down 48 into a multiplication exercise:

$\frac{16\times3}{10\times3}=$

Let's reduce the 3 in both numerator and denominator obtaining the following:

$\frac{16}{10}$

Finally let's convert the simple fraction into a decimal:

$\frac{16}{10}=1.6$

Let's begin by converting 5.8 into a simple fraction:

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

Let's proceed to convert 3.4 into a simple fraction:

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

Below is the resulting exercise

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

Let's now convert the division exercise into a multiplication exercise, not forgetting 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 in order to obtain the following:

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

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

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

Finally let's reduce the 2 in both the numerator and denominator of the fraction and we should obtain:

$\frac{29}{17}$

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:

$+20$

Let's begin by breaking down 5.4 into a subtraction exercise as follows:

$-5.4=-5-0.4$

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

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

Let's proceed to 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:

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

Below is the resulting exercise:

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

Let's convert the division exercise into a multiplication exercise not forgetting to switch between the numerator and denominator in the second fraction:

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

Finally let's reduce the 10 in both fractions and we should obtain the following:

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

To solve this problem, we'll follow these steps:

• Step 1: Multiply $0.1$ and $0.15$.
• Step 2: Multiply the result by $3$.
• Step 3: Multiply the next result by $0.05$.

Now, let's work through each step:

Step 1:
Multiply $0.1$ by $0.15$.
$0.1 \times 0.15 = 0.015$

Step 2:
Now multiply the result $0.015$ by $3$.
$0.015 \times 3 = 0.045$

Step 3:
Finally, multiply the result $0.045$ by $0.05$.
$0.045 \times 0.05 = 0.00225$

Therefore, the solution to the problem is $0.00225$.

Let's solve the exercise by first solving the two multiplication problems, and then combining them:

$1\times10.3=10.3$

Now let's break down 10.1 and multiply it by 4 as follows:

$(10+0.1)\times4=$

Let's multiply 4 by 10 and then by 0.1:

$40+0.4=40.4$

Now we have the exercise:

$10.3+40.4=$

We'll solve accordingly and get:

$50.7$