Chapter 6.1, Problem 63CCR

To determine

Calculate the sum or difference and also do in simplest form.

Answer to Problem 63CCR

The solution for the expression is $\frac{11}{36}$ .

Explanation of Solution

Given: It is given in the question that the expression is $\frac{3}{4}-\frac{4}{9}$ .

Concept Used:

In this, use the concept of subtraction and also make the lowest form by dividing with suitable number.

Calculation:

Here, the denominator are different. So set both Equations to the LCM between them. The LCM of $4$ and $9$ is $36$ .so,

  $\frac{3}{4}\cdot \frac{9}{9}=\frac{27}{36}$ , $\frac{4}{9}\cdot \frac{4}{4}=\frac{16}{36}$ .

  $\begin{array}{l}\frac{27}{36}-\frac{16}{36}\\ =\frac{27-16}{36}\\ =\frac{11}{36}\end{array}$

Conclusion:

The solution is $\frac{11}{36}$ .