Solve 0.9/0.2=z/1.8

$$\frac { 0.9 } { 0.2 } = \frac { z } { 1.8 }$$

Solve for z

$$z=8.1$$

Steps for Solving Linear Equation

Expand \frac{0.9}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{9}{2}=\frac{z}{1.8}$$

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

$$\frac{z}{1.8}=\frac{9}{2}$$

Multiply both sides by 1.8.

$$z=\frac{9}{2}\times 1.8$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$z=\frac{9}{2}\times \frac{9}{5}$$

Multiply \frac{9}{2} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$z=\frac{9\times 9}{2\times 5}$$

Do the multiplications in the fraction \frac{9\times 9}{2\times 5}.

$$z=\frac{81}{10}$$