Question

In the following exercises, Perform the indicated operation, a)$\frac{5}{8}+\frac{3}{4}$b)$\frac{5}{8}÷\frac{3}{4}$

Short answer

The simplified value of$\frac{5}{8}+\frac{3}{4}=\frac{11}{8}$and$\frac{5}{8}÷\frac{3}{4}=\frac{5}{6}$

Step-by-step solution

Step 1, Given information

a) The given fraction is $\frac{5}{8}+\frac{3}{4}$

b)The given fraction islocalid="1644496014746" $\frac{5}{8}÷\frac{3}{4}$

Part (a) Step 1.  Perform addition operation

The given fraction is $\frac{5}{8}+\frac{3}{4}$

$LCD=8$

$$\begin{gathered} \frac{5}{8}+\frac{3}{4} \\ =\frac{5+3\times 2}{8} \\ =\frac{11}{8} \end{gathered}$$

Part (a) Step 2. Conclusion 

Hence, the simplified value is$\frac{11}{8}$

Part (b) Step 1.  Perform division operation

If $a,b,c,d$are the number then $\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$$\begin{gathered} \frac{5}{8}÷\frac{3}{4} \\ =\frac{5}{8}\times \frac{4}{3} \\ =\frac{5}{6} \end{gathered}$$

Step 5. Conclusion

Hence, the simplified value of $\frac{5}{8}÷\frac{3}{4}=\frac{5}{6}$