Solve m/n + 3(-m): Algebraic Expression Evaluation with Given Values

Question

In front of you an algebraic expression:

mn+3(m) \frac{m}{n}+3(-m)

Replace and calculate

  1. m=3,n=0.2 m=3,n=-0.2

  2. m=4,n=3 m=-4,n=-3

Video Solution

Step-by-Step Solution

Let's start with the first option.

Let's substitute the given data into the expression:

30.2+3(3)= \frac{3}{-0.2}+3(-3)=

We'll solve the exercise from left to right, first converting 0.2 to a simple fraction:

315+3(3)= \frac{3}{-\frac{1}{5}}+3(-3)=

Now let's solve the multiplication problem, remembering that when we multiply a positive number by a negative number, the result must be negative:

3×(3)=9 3\times(-3)=-9

Now we have the exercise:

315+(9)= \frac{3}{-\frac{1}{5}}+(-9)=

Let's convert the division problem to a multiplication problem, remembering to switch between the numerator and denominator of the fraction:

3×51+(9)= 3\times-\frac{5}{1}+(-9)=

Let's take -9 out of the parentheses and keep the appropriate sign:

3×(5)19= \frac{3\times(-5)}{1}-9=

3×(5)9= 3\times(-5)-9=

159=24 -15-9=-24

Let's continue with the second option.

Let's substitute the given data into the expression:

43+3((4))= \frac{-4}{-3}+3(-(-4))=

Let's solve the exercise from left to right.

Note that we are first dividing a negative number by a negative number, so the result must be positive:

43+3((4))= \frac{4}{3}+3(-(-4))=

Let's open the parentheses and keep the appropriate sign:

43+3×(4)= \frac{4}{3}+3\times(4)=

Let's solve the multiplication problem:

43+12= \frac{4}{3}+12=

Let's break down the fraction into an addition problem:

3+13+12=33+13+12=1+13+12=1313 \frac{3+1}{3}+12=\frac{3}{3}+\frac{1}{3}+12=1+\frac{1}{3}+12=13\frac{1}{3}

Therefore, the final answer is:

1=24,2=1313 1=-24,2=13\frac{1}{3}

Answer

1=24,2=+1313 1=-24,2=+13\frac{1}{3}