Solve 3.6/y=3/2.5

$$\frac { 3.6 } { y } = \frac { 3 } { 2.5 }$$

Solve for y

$$y=3$$

Steps for Solving Linear Equation

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

$$3.6=y\times \frac{3}{2.5}$$

Expand \frac{3}{2.5} by multiplying both numerator and the denominator by 10.

$$3.6=y\times \frac{30}{25}$$

Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.

$$3.6=y\times \frac{6}{5}$$

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

$$y\times \frac{6}{5}=3.6$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$y=3.6\times \frac{5}{6}$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$y=\frac{18}{5}\times \frac{5}{6}$$

Multiply \frac{18}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{18\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$y=\frac{18}{6}$$

Divide 18 by 6 to get 3.

$$y=3$$