Solve 3/2*(2)^3-4/3*9,5=

$$\frac { 3 } { 2 } \cdot ( 2 ) ^ { 3 } - \frac { 4 } { 3 } \cdot 9,5 =$$

Evaluate

$$-\frac{2}{3}\approx -0,666666667$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{3}{2}\times 8-\frac{4}{3}\times 9,5$$

Express \frac{3}{2}\times 8 as a single fraction.

$$\frac{3\times 8}{2}-\frac{4}{3}\times 9,5$$

Multiply 3 and 8 to get 24.

$$\frac{24}{2}-\frac{4}{3}\times 9,5$$

Divide 24 by 2 to get 12.

$$12-\frac{4}{3}\times 9,5$$

Convert decimal number 9,5 to fraction \frac{95}{10}. Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$12-\frac{4}{3}\times \frac{19}{2}$$

Multiply \frac{4}{3} times \frac{19}{2} by multiplying numerator times numerator and denominator times denominator.

$$12-\frac{4\times 19}{3\times 2}$$

Do the multiplications in the fraction \frac{4\times 19}{3\times 2}.

$$12-\frac{76}{6}$$

Reduce the fraction \frac{76}{6} to lowest terms by extracting and canceling out 2.

$$12-\frac{38}{3}$$

Convert 12 to fraction \frac{36}{3}.

$$\frac{36}{3}-\frac{38}{3}$$

Since \frac{36}{3} and \frac{38}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-38}{3}$$

Subtract 38 from 36 to get -2.

$$-\frac{2}{3}$$

Factor

$$-\frac{2}{3} = -0.6666666666666666$$