Solve -4/3(1/55+3-4/3)

$$- \frac { 4 } { 3 } ( \frac { 1 } { 5 } 5 + 3 - \frac { 4 } { 3 } )$$

Evaluate

$$-\frac{32}{9}\approx -3.555555556$$

Solution Steps

Cancel out 5 and 5.

$$-\frac{4}{3}\left(1+3-\frac{4}{3}\right)$$

Add 1 and 3 to get 4.

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

Convert 4 to fraction \frac{12}{3}.

$$-\frac{4}{3}\left(\frac{12}{3}-\frac{4}{3}\right)$$

Since \frac{12}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{3}\times \frac{12-4}{3}$$

Subtract 4 from 12 to get 8.

$$-\frac{4}{3}\times \frac{8}{3}$$

Multiply -\frac{4}{3} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 8}{3\times 3}$$

Do the multiplications in the fraction \frac{-4\times 8}{3\times 3}.

$$\frac{-32}{9}$$

Fraction \frac{-32}{9} can be rewritten as -\frac{32}{9} by extracting the negative sign.

$$-\frac{32}{9}$$

Factor

$$-\frac{32}{9} = -3\frac{5}{9} = -3.5555555555555554$$