Solve 4-a/5a*a^2+5a/a^2+a-20

$$\frac { 4 - a } { 5 a } \times \frac { a ^ { 2 } + 5 a } { a ^ { 2 } + a - 20 }$$

Evaluate

$$-\frac{1}{5}=-0.2$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{a^{2}+5a}{a^{2}+a-20}.

$$\frac{4-a}{5a}\times \frac{a\left(a+5\right)}{\left(a-4\right)\left(a+5\right)}$$

Cancel out a+5 in both numerator and denominator.

$$\frac{4-a}{5a}\times \frac{a}{a-4}$$

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

$$\frac{\left(4-a\right)a}{5a\left(a-4\right)}$$

Extract the negative sign in 4-a.

$$\frac{-a\left(a-4\right)}{5a\left(a-4\right)}$$

Cancel out a\left(a-4\right) in both numerator and denominator.

$$\frac{-1}{5}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{1}{5}$$

Factor

$$-\frac{1}{5} = -0.2$$