Solve 2(20/13-5)

$$2( \frac{ 20 }{ 13 } -5)$$

Evaluate

$$-\frac{90}{13}\approx -6.923076923$$

Solution Steps

Convert 5 to fraction \frac{65}{13}.

$$2\left(\frac{20}{13}-\frac{65}{13}\right)$$

Since \frac{20}{13} and \frac{65}{13} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{20-65}{13}$$

Subtract 65 from 20 to get -45.

$$2\left(-\frac{45}{13}\right)$$

Express 2\left(-\frac{45}{13}\right) as a single fraction.

$$\frac{2\left(-45\right)}{13}$$

Multiply 2 and -45 to get -90.

$$\frac{-90}{13}$$

Fraction \frac{-90}{13} can be rewritten as -\frac{90}{13} by extracting the negative sign.

$$-\frac{90}{13}$$

Factor

$$-\frac{90}{13} = -6\frac{12}{13} = -6.923076923076923$$