Solve 6:x=11/15:2/3

$$6 : x = 1 \frac { 1 } { 15 } : \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$6=x\times \frac{\frac{1\times 15+1}{15}}{\frac{2}{3}}$$

Multiply 1 and 15 to get 15.

$$6=x\times \frac{\frac{15+1}{15}}{\frac{2}{3}}$$

Add 15 and 1 to get 16.

$$6=x\times \frac{\frac{16}{15}}{\frac{2}{3}}$$

Divide \frac{16}{15} by \frac{2}{3} by multiplying \frac{16}{15} by the reciprocal of \frac{2}{3}.

$$6=x\times \frac{16}{15}\times \frac{3}{2}$$

Multiply \frac{16}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$6=x\times \frac{16\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{16\times 3}{15\times 2}.

$$6=x\times \frac{48}{30}$$

Reduce the fraction \frac{48}{30} to lowest terms by extracting and canceling out 6.

$$6=x\times \frac{8}{5}$$

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

$$x\times \frac{8}{5}=6$$

Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.

$$x=6\times \frac{5}{8}$$

Express 6\times \frac{5}{8} as a single fraction.

$$x=\frac{6\times 5}{8}$$

Multiply 6 and 5 to get 30.

$$x=\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{4}$$