Solve 11/4/3frac{1{3}}=x/frac{2{5}}

$$\frac { 1 \frac { 1 } { 4 } } { 3 \frac { 1 } { 3 } } = \frac { x } { \frac { 2 } { 5 } }$$

Solve for x

$$x=\frac{3}{20}=0.15$$

Steps for Solving Linear Equation

Divide \frac{1\times 4+1}{4} by \frac{3\times 3+1}{3} by multiplying \frac{1\times 4+1}{4} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{\left(1\times 4+1\right)\times 3}{4\left(3\times 3+1\right)}=\frac{x}{\frac{2}{5}}$$

Multiply 1 and 4 to get 4.

$$\frac{\left(4+1\right)\times 3}{4\left(3\times 3+1\right)}=\frac{x}{\frac{2}{5}}$$

Add 4 and 1 to get 5.

$$\frac{5\times 3}{4\left(3\times 3+1\right)}=\frac{x}{\frac{2}{5}}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{4\left(3\times 3+1\right)}=\frac{x}{\frac{2}{5}}$$

Multiply 3 and 3 to get 9.

$$\frac{15}{4\left(9+1\right)}=\frac{x}{\frac{2}{5}}$$

Add 9 and 1 to get 10.

$$\frac{15}{4\times 10}=\frac{x}{\frac{2}{5}}$$

Multiply 4 and 10 to get 40.

$$\frac{15}{40}=\frac{x}{\frac{2}{5}}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}=\frac{x}{\frac{2}{5}}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{\frac{2}{5}}=\frac{3}{8}$$

Multiply both sides by \frac{2}{5}.

$$x=\frac{3}{8}\times \frac{2}{5}$$

Multiply \frac{3}{8} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 2}{8\times 5}$$

Do the multiplications in the fraction \frac{3\times 2}{8\times 5}.

$$x=\frac{6}{40}$$

Reduce the fraction \frac{6}{40} to lowest terms by extracting and canceling out 2.

$$x=\frac{3}{20}$$