Solve 4:35/7=x:5/11

$$4 : 3 \frac { 5 } { 7 } = x : \frac { 5 } { 11 }$$

Solve for x

$$x=\frac{70}{143}\approx 0.48951049$$

Steps for Solving Linear Equation

Divide 4 by \frac{3\times 7+5}{7} by multiplying 4 by the reciprocal of \frac{3\times 7+5}{7}.

$$\frac{4\times 7}{3\times 7+5}=\frac{x}{\frac{5}{11}}$$

Multiply 4 and 7 to get 28.

$$\frac{28}{3\times 7+5}=\frac{x}{\frac{5}{11}}$$

Multiply 3 and 7 to get 21.

$$\frac{28}{21+5}=\frac{x}{\frac{5}{11}}$$

Add 21 and 5 to get 26.

$$\frac{28}{26}=\frac{x}{\frac{5}{11}}$$

Reduce the fraction \frac{28}{26} to lowest terms by extracting and canceling out 2.

$$\frac{14}{13}=\frac{x}{\frac{5}{11}}$$

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

$$\frac{x}{\frac{5}{11}}=\frac{14}{13}$$

Multiply both sides by \frac{5}{11}.

$$x=\frac{14}{13}\times \frac{5}{11}$$

Multiply \frac{14}{13} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{14\times 5}{13\times 11}$$

Do the multiplications in the fraction \frac{14\times 5}{13\times 11}.

$$x=\frac{70}{143}$$