Solve 1-5*-(4/13)

$$1-5 \times -( \frac{ 4 }{ 13 } )$$

Evaluate

$$\frac{33}{13}\approx 2.538461538$$

Solution Steps

Express 5\left(-\frac{4}{13}\right) as a single fraction.

$$1-\frac{5\left(-4\right)}{13}$$

Multiply 5 and -4 to get -20.

$$1-\frac{-20}{13}$$

Fraction \frac{-20}{13} can be rewritten as -\frac{20}{13} by extracting the negative sign.

$$1-\left(-\frac{20}{13}\right)$$

The opposite of -\frac{20}{13} is \frac{20}{13}.

$$1+\frac{20}{13}$$

Convert 1 to fraction \frac{13}{13}.

$$\frac{13}{13}+\frac{20}{13}$$

Since \frac{13}{13} and \frac{20}{13} have the same denominator, add them by adding their numerators.

$$\frac{13+20}{13}$$

Add 13 and 20 to get 33.

$$\frac{33}{13}$$

Factor

$$\frac{3 \cdot 11}{13} = 2\frac{7}{13} = 2.5384615384615383$$