Solve 3.6/3=b/2.5

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

Solve for b

$$b=3$$

Steps for Solving Linear Equation

Expand \frac{3.6}{3} by multiplying both numerator and the denominator by 10.

$$\frac{36}{30}=\frac{b}{2.5}$$

Reduce the fraction \frac{36}{30} to lowest terms by extracting and canceling out 6.

$$\frac{6}{5}=\frac{b}{2.5}$$

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

$$\frac{b}{2.5}=\frac{6}{5}$$

Multiply both sides by 2.5.

$$b=\frac{6}{5}\times 2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$b=\frac{6}{5}\times \frac{5}{2}$$

Multiply \frac{6}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$b=\frac{6\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$b=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$b=3$$