Solve 4/3:22/7=x:24/5

$$\frac { 4 } { 3 } : \frac { 22 } { 7 } = x : \frac { 24 } { 5 }$$

Solve for x

$$x = \frac{112}{55} = 2\frac{2}{55} \approx 2.036363636$$

Steps for Solving Linear Equation

Divide \frac{4}{3} by \frac{22}{7} by multiplying \frac{4}{3} by the reciprocal of \frac{22}{7}.

$$\frac{4}{3}\times \frac{7}{22}=\frac{x}{\frac{24}{5}}$$

Multiply \frac{4}{3} times \frac{7}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{3\times 22}=\frac{x}{\frac{24}{5}}$$

Do the multiplications in the fraction \frac{4\times 7}{3\times 22}.

$$\frac{28}{66}=\frac{x}{\frac{24}{5}}$$

Reduce the fraction \frac{28}{66} to lowest terms by extracting and canceling out 2.

$$\frac{14}{33}=\frac{x}{\frac{24}{5}}$$

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

$$\frac{x}{\frac{24}{5}}=\frac{14}{33}$$

Multiply both sides by \frac{24}{5}.

$$x=\frac{14}{33}\times \frac{24}{5}$$

Multiply \frac{14}{33} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{14\times 24}{33\times 5}$$

Do the multiplications in the fraction \frac{14\times 24}{33\times 5}.

$$x=\frac{336}{165}$$

Reduce the fraction \frac{336}{165} to lowest terms by extracting and canceling out 3.

$$x=\frac{112}{55}$$