Solve 4/3div0.5+8*3/2=

$$\frac { 4 } { 3 } \div 0.5 + 8 \times \frac { 3 } { 2 } =$$

Evaluate

$$\frac{44}{3}\approx 14.666666667$$

Solution Steps

Express \frac{\frac{4}{3}}{0.5} as a single fraction.

$$\frac{4}{3\times 0.5}+8\times \frac{3}{2}$$

Multiply 3 and 0.5 to get 1.5.

$$\frac{4}{1.5}+8\times \frac{3}{2}$$

Expand \frac{4}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{40}{15}+8\times \frac{3}{2}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}+8\times \frac{3}{2}$$

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

$$\frac{8}{3}+\frac{8\times 3}{2}$$

Multiply 8 and 3 to get 24.

$$\frac{8}{3}+\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$\frac{8}{3}+12$$

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

$$\frac{8}{3}+\frac{36}{3}$$

Since \frac{8}{3} and \frac{36}{3} have the same denominator, add them by adding their numerators.

$$\frac{8+36}{3}$$

Add 8 and 36 to get 44.

$$\frac{44}{3}$$

Factor

$$\frac{11 \cdot 2 ^ {2}}{3} = 14\frac{2}{3} = 14.666666666666666$$