Solve -x:y/z: Substituting Values (-3 and -4.4) in Algebraic Expression

Look at the algebraic expression:

$-\frac{x:y}{z}$

Substitute and calculate:

1. $x=y,z=-3$

2. $x=z,y=-4.4$

Let's start with the first option.

Let's substitute the data into the expression:

$-\frac{y:y}{-3}=$

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

$\frac{-}{-}=+$

$+\frac{y:y}{3}=$

Let's remember the rule that any number divided by itself equals 1, therefore:

$\frac{y}{y}=1$

Now we have:

$\frac{1}{3}$

Let's continue with the second option.

Let's substitute the data into the expression:

$-\frac{z:-4.4}{z}=$

Let's now reduce $z$ in both numerator and denominator of the fraction to get:

$-(1:-4.4)=$

Let's next write the exercise as a simple fraction:

$-\frac{1}{-4.4}=$

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

$\frac{-}{-}=+$

Let's convert 4.4 into a simple fraction:

$+\frac{1}{4\frac{2}{5}}=$

Let's write the denominator fraction as a complex fraction:

$+\frac{1}{4\frac{2}{5}}=\frac{1}{\frac{22}{5}}=$

Let's convert the fraction to a multiplication exercise remembering to switch between numerator and denominator:

$\frac{1}{\frac{22}{5}}=1\times\frac{5}{22}=\frac{5}{22}$

Therefore the final answer is:

$1=+\frac{1}{3},2=+\frac{5}{22}$