Solve a/b=38/11,4

$$\frac { a } { b } = \frac { 38 } { 11,4 }$$

Solve for a

$$a=\frac{10b}{3}$$

$$b\neq 0$$

Solution Steps

Multiply both sides of the equation by b.

$$a=b\times \frac{38}{11,4}$$

Expand \frac{38}{11,4} by multiplying both numerator and the denominator by 10.

$$a=b\times \frac{380}{114}$$

Reduce the fraction \frac{380}{114} to lowest terms by extracting and canceling out 38.

$$a=b\times \frac{10}{3}$$

Solve for b

$$b=\frac{3a}{10}$$

$$a\neq 0$$

Steps for Solving Linear Equation

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

$$a=b\times \frac{38}{11,4}$$

Expand \frac{38}{11,4} by multiplying both numerator and the denominator by 10.

$$a=b\times \frac{380}{114}$$

Reduce the fraction \frac{380}{114} to lowest terms by extracting and canceling out 38.

$$a=b\times \frac{10}{3}$$

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

$$b\times \frac{10}{3}=a$$

The equation is in standard form.

$$\frac{10}{3}b=a$$

Divide both sides of the equation by \frac{10}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10}{3}b}{\frac{10}{3}}=\frac{a}{\frac{10}{3}}$$

Dividing by \frac{10}{3} undoes the multiplication by \frac{10}{3}.

$$b=\frac{a}{\frac{10}{3}}$$

Divide a by \frac{10}{3} by multiplying a by the reciprocal of \frac{10}{3}.

$$b=\frac{3a}{10}$$

Variable b cannot be equal to 0.

$$b=\frac{3a}{10}\text{, }b\neq 0$$