Solve 1/4*-72/13-2

$$\frac{ 1 }{ 4 } \times - \frac{ 72 }{ 13 } -2$$

Evaluate

$$-\frac{44}{13}\approx -3.384615385$$

Solution Steps

Multiply \frac{1}{4} times -\frac{72}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-72\right)}{4\times 13}-2$$

Do the multiplications in the fraction \frac{1\left(-72\right)}{4\times 13}.

$$\frac{-72}{52}-2$$

Reduce the fraction \frac{-72}{52} to lowest terms by extracting and canceling out 4.

$$-\frac{18}{13}-2$$

Convert 2 to fraction \frac{26}{13}.

$$-\frac{18}{13}-\frac{26}{13}$$

Since -\frac{18}{13} and \frac{26}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-18-26}{13}$$

Subtract 26 from -18 to get -44.

$$-\frac{44}{13}$$

Factor

$$-\frac{44}{13} = -3\frac{5}{13} = -3.3846153846153846$$