How do you simplify #\frac { 3a } { 2a b } - \frac { 2a } { 4}#?

Question

Kennedy Adams · Accepted Answer

#(a(3 - ab))/(2b)#

First, you make a common denominator.

#(3a)/(2ab) - (2a)/4 = (3a)/(2ab) - (2*a^2*b)/(4ab)#

Next, you multiply the fraction #(3a)/(2ab)# in the numerator and denominator by #2#. Then you get

#(6a)/(4ab)#

Now you do

#(6a)/(4ab) - (2 * a^2 * b)/(4ab) = (2a(3-ab))/(4b) = (a(3 - ab))/(2b)#

Sorry for making it so complicated.

Avery Alexander · Answer

undefined To simplify the expression \frac { 3a } { 2a b } - \frac { 2a } { 4}, we can follow these steps:

1. Simplify the second fraction by dividing both the numerator and denominator by 2:
   \frac { 2a } { 4} = \frac { a } { 2}

2. Now, we have the expression \frac { 3a } { 2a b } - \frac { a } { 2}.

3. To combine the fractions, we need a common denominator. The common denominator is 2ab.

4. Multiply the first fraction by \frac { b } { b } to get the common denominator:
   \frac { 3a } { 2a b } = \frac { 3ab } { 2ab }

5. Now, we have the expression \frac { 3ab } { 2ab } - \frac { a } { 2}.

6. Combine the fractions by subtracting the numerators:
   \frac { 3ab - a } { 2ab }

7. Simplify the numerator by factoring out the common factor of a:
   \frac { a(3b - 1) } { 2ab }

8. Finally, simplify the expression by canceling out the common factors:
   \frac { 3b - 1 } { 2b }