Solve x:(2+3/4)=8/5:11/10

$$x : ( 2 + \frac { 3 } { 4 } ) = \frac { 8 } { 5 } : \frac { 11 } { 10 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{8}{4}.

$$\frac{x}{\frac{8}{4}+\frac{3}{4}}=\frac{\frac{8}{5}}{\frac{11}{10}}$$

Since \frac{8}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{x}{\frac{8+3}{4}}=\frac{\frac{8}{5}}{\frac{11}{10}}$$

Add 8 and 3 to get 11.

$$\frac{x}{\frac{11}{4}}=\frac{\frac{8}{5}}{\frac{11}{10}}$$

Divide \frac{8}{5} by \frac{11}{10} by multiplying \frac{8}{5} by the reciprocal of \frac{11}{10}.

$$\frac{x}{\frac{11}{4}}=\frac{8}{5}\times \frac{10}{11}$$

Multiply \frac{8}{5} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\frac{11}{4}}=\frac{8\times 10}{5\times 11}$$

Do the multiplications in the fraction \frac{8\times 10}{5\times 11}.

$$\frac{x}{\frac{11}{4}}=\frac{80}{55}$$

Reduce the fraction \frac{80}{55} to lowest terms by extracting and canceling out 5.

$$\frac{x}{\frac{11}{4}}=\frac{16}{11}$$

Multiply both sides by \frac{11}{4}.

$$x=\frac{16}{11}\times \frac{11}{4}$$

Multiply \frac{16}{11} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{16\times 11}{11\times 4}$$

Cancel out 11 in both numerator and denominator.

$$x=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x=4$$