Question

How do you solve $\dfrac{3a}{4}=\dfrac{36}{12}$ ?

Answer 1

We know that 36 divided by 12 is equal to 3 so we can write $\dfrac{3a}{4}$ is equal to 3. That means a multiplied by 3 then divided by 4 is equal to 3. So we can find the value of a by multiplying 4 both sides and then divide by 3 both sides.

Complete step by step answer:
The given equation is $\dfrac{3a}{4}=\dfrac{36}{12}$ .we know that $\dfrac{36}{12}$ is equal to 3
So we can write $\dfrac{3a}{4}=3$
Now multiplying 4 to both side we get 3a = 12
Now dividing both sides by 3 we get a = 4. So a = 4 is solution of $\dfrac{3a}{4}=\dfrac{36}{12}$
We can check whether our answer is correct or not by putting the value of in the equation
If we put an equal to 4 in the equation $\dfrac{3a}{4}$ we get 3 which is equal to $\dfrac{36}{12}$. So 4 is satisfying the equation $\dfrac{3a}{4}=\dfrac{36}{12}$ . So a = 4 is the correct solution.

Note:
We can solve this question by another method, we can draw the graph of y = $\dfrac{3x}{4}-3$ or y = 3x – 12 and the x intercept will be the solution we know that the equation of y = 3x -12 will be straight line whose slope is equal to $\dfrac{3}{4}$ and y intercept is equal to 3. It will cut the x axis at ( 4 , 0). 4 is the solution of $\dfrac{3a}{4}=\dfrac{36}{12}$