Solve 1/0.9=y/4.5

$$\frac { 1 } { 0.9 } = \frac { y } { 4.5 }$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Expand \frac{1}{0.9} by multiplying both numerator and the denominator by 10.

$$\frac{10}{9}=\frac{y}{4.5}$$

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

$$\frac{y}{4.5}=\frac{10}{9}$$

Multiply both sides by 4.5.

$$y=\frac{10}{9}\times 4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{10}{9}\times \frac{9}{2}$$

Multiply \frac{10}{9} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{10\times 9}{9\times 2}$$

Cancel out 9 in both numerator and denominator.

$$y=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$y=5$$