Solve R5000/1*100/125=R4000

$$\frac { R 5000 } { 1 } \times \frac { 100 } { 125 } = R 4000$$

Solve for R_4000

$$R_{4000}=\frac{4R_{5000}}{5}$$

Solution Steps

Anything divided by one gives itself.

$$R_{5000}\times \frac{100}{125}=R_{4000}$$

Reduce the fraction \frac{100}{125} to lowest terms by extracting and canceling out 25.

$$R_{5000}\times \frac{4}{5}=R_{4000}$$

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

$$R_{4000}=R_{5000}\times \frac{4}{5}$$

Solve for R_5000

$$R_{5000}=\frac{5R_{4000}}{4}$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$R_{5000}\times \frac{100}{125}=R_{4000}$$

Reduce the fraction \frac{100}{125} to lowest terms by extracting and canceling out 25.

$$R_{5000}\times \frac{4}{5}=R_{4000}$$

The equation is in standard form.

$$\frac{4}{5}R_{5000}=R_{4000}$$

Divide both sides of the equation by \frac{4}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{5}R_{5000}}{\frac{4}{5}}=\frac{R_{4000}}{\frac{4}{5}}$$

Dividing by \frac{4}{5} undoes the multiplication by \frac{4}{5}.

$$R_{5000}=\frac{R_{4000}}{\frac{4}{5}}$$

Divide R_{4000} by \frac{4}{5} by multiplying R_{4000} by the reciprocal of \frac{4}{5}.

$$R_{5000}=\frac{5R_{4000}}{4}$$