Question

- Verify and name the property9/8 * (3/4 * 5/7) = (9/8 * 3/4) * 5/7 ​

Answer 1

To verify : verify and name the property in $\frac{9}{8}\times (\frac{3}{4}\times \frac{5}{7})=(\frac{9}{8} \times \frac{3}{4} )\times \frac{5}{7}$

Solution :

• According to question we are asked to find the property applied in the following expression ,

       $\frac{9}{8}\times (\frac{3}{4}\times \frac{5}{7})=(\frac{9}{8} \times \frac{3}{4} )\times \frac{5}{7}$  

• Here we can see that associative property of multiplication is used .

• Associative property states that if we multiply any three real numbers , the grouping of numbers does not changes the outcome result .

• Verifying property :

• $\frac{9}{8}\times (\frac{3}{4}\times \frac{5}{7})=(\frac{9}{8} \times \frac{3}{4} )\times \frac{5}{7}$  
• LHS = $\frac{9}{8}\times (\frac{3}{4}\times \frac{5}{7})$  

                $=\frac{9}{8} \times ( \frac{15}{28} ) \\\\= \frac{135}{224}$

• RHS = $(\frac{9}{8} \times \frac{3}{4} )\times \frac{5}{7}$

               $= \frac{15}{28}\times \frac{5}{7} \\\\= \frac{135}{224}$  

• Therefore , LHS = RHS  

Hence , verified that  associative property is used in the given expression.