Solve 14/3-4*4/3*(-4)

$$\frac { 14 } { 3 } - 4 \cdot \frac { 4 } { 3 } \cdot ( - 4 )$$

Evaluate

$$26$$

Solution Steps

Express 4\times \frac{4}{3} as a single fraction.

$$\frac{14}{3}-\frac{4\times 4}{3}\left(-4\right)$$

Multiply 4 and 4 to get 16.

$$\frac{14}{3}-\frac{16}{3}\left(-4\right)$$

Express \frac{16}{3}\left(-4\right) as a single fraction.

$$\frac{14}{3}-\frac{16\left(-4\right)}{3}$$

Multiply 16 and -4 to get -64.

$$\frac{14}{3}-\frac{-64}{3}$$

Fraction \frac{-64}{3} can be rewritten as -\frac{64}{3} by extracting the negative sign.

$$\frac{14}{3}-\left(-\frac{64}{3}\right)$$

The opposite of -\frac{64}{3} is \frac{64}{3}.

$$\frac{14}{3}+\frac{64}{3}$$

Since \frac{14}{3} and \frac{64}{3} have the same denominator, add them by adding their numerators.

$$\frac{14+64}{3}$$

Add 14 and 64 to get 78.

$$\frac{78}{3}$$

Divide 78 by 3 to get 26.

$$26$$

Factor

$$2\times 13$$