Question

Subtract 5 from 1/3 of 23.

Write an expression to match, and then evaluate.

Answer 1

Answer:

$f(x)=\frac{1}{3}x-5$

Step-by-step explanation:

There is no much information about it. So, I guess you can write it as a Slope Intercept Equation:

$f(x)=\frac{1}{3}x-5$

Let's evaluate 23

$f(23)=\frac{1}{3}(23)-5=\frac{8}{3}$ ≈2.67

Also you can write other expressions like this:

$f(x)=23x-5$

or

$f(x)=(23)\frac{1}{3}-x$

Answer 2

Answer:

Expression: $(23*\frac{1}{3})-5$

After evaluate: $2\frac{2}{3}$

Step-by-step explanation:

Notice that the exercise says "$\frac{1}{3}$ of 23". This is:

$23*\frac{1}{3}$

According to the exercise, you must "Subtract 5 from $\frac{1}{3}$ of 23"; knowing this you can write the following expression:

 $(23*\frac{1}{3})-5$

In order to evaluate the expression, the first step you need to apply is to solve the multiplication inside the parentheses:

$(\frac{23*1}{3})-5=\frac{23}{3}-5$

Now you need to solve the subtraction.

Since the denominator of $\frac{23}{3}$ is 3 and the denominator of 5 is 1 ($5=\frac{5}{1}$), the Least Common Denominator (LCD) is 3. Then:

$=\frac{23-15}{3}=\frac{8}{3}$

Finally, you can convert this improper fraction to a mixed number. The steps are:

• Divide the numerator 8 by the denominator 3. You will get 2, with a remainder of 2.
• Use 2 as the whole number, and the remainder 2 as the numerator.
• The denominator does not change. It's 3.

Then, you get:

$2\frac{2}{3}$