Solve x:2.5=4:(4+1)

$$x : 2.5 = 4 : ( 4 + 1 )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Add 4 and 1 to get 5.

$$\frac{x}{2.5}=\frac{4}{5}$$

Multiply both sides by 2.5.

$$x=\frac{4}{5}\times 2.5$$

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.

$$x=\frac{4}{5}\times \frac{5}{2}$$

Multiply \frac{4}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$