Solving equations with linear expressions on one side and numbers on the other side

Q.

The product of a fraction with the sum of $5\frac{1}{3}$ and $6\frac{1}{3}$ is $3$. what is the fraction.

Q.

Find the value of $x$ in the following case:

$\frac{x}{7}=\frac{84}{3}$

Q.

By what number should $4\frac{1}{2}$be divided to get $\frac{3}{2}$ ?

1. $3$

2. $4\frac{1}{4}$

3. $1\frac{1}{4}$

4. $4$

Q.

Choose the correct answer $\frac{7\mathrm{x}}{38}\mathrm{of}(\frac{\mathrm{x}}{4}+\frac{4\mathrm{x}}{3})$equals:

1. $\frac{\mathrm{x}}{3}$

2. $\frac{7{\mathrm{x}}^2}{3}$

3. $\frac{7{\mathrm{x}}^2}{24}$

4. $\frac{1}{38}$