Question

Use the Commutative and Associative Properties simplify
$\left(\frac{11}{15}+\frac{3}{8}\right)+\frac{5}{8}$

Short answer

Simplified form of$\left(\frac{11}{15}+\frac{3}{8}\right)+\frac{5}{8}$is$\frac{26}{15}$

Step-by-step solution

Step1:Given information

Given expression is $\left(\frac{11}{15}+\frac{3}{8}\right)+\frac{5}{8}$.

Simplify using the associative property of addition.

:Description of associative property of addition

Associative property of addition

:When adding or multiplying, changing the grouping gives the same result.

If a, b, and c are real numbers, then$a+(b+c)=(a+b)+c$

:Simplify the expression using associative property of addition

Using the associative property we can change the group of the expression , two same denominator is here so that group according to that$$\begin{gathered} \left(\frac{11}{15}+\frac{3}{8}\right)+\frac{5}{8}=\frac{11}{15}+\left(\frac{3}{8}+\frac{5}{8}\right) \\ =\frac{11}{15}+\frac{8}{8} \\ =\frac{11}{15}+1 \\ =\frac{26}{15} \end{gathered}$$