Solve 51/2*42/3*8

$$5 \frac{ 1 }{ 2 } \times 4 \frac{ 2 }{ 3 } \times 8$$

Evaluate

$$\frac{616}{3}\approx 205.333333333$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}\times \frac{4\times 3+2}{3}\times 8$$

Add 10 and 1 to get 11.

$$\frac{11}{2}\times \frac{4\times 3+2}{3}\times 8$$

Multiply 4 and 3 to get 12.

$$\frac{11}{2}\times \frac{12+2}{3}\times 8$$

Add 12 and 2 to get 14.

$$\frac{11}{2}\times \frac{14}{3}\times 8$$

Multiply \frac{11}{2} times \frac{14}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 14}{2\times 3}\times 8$$

Do the multiplications in the fraction \frac{11\times 14}{2\times 3}.

$$\frac{154}{6}\times 8$$

Reduce the fraction \frac{154}{6} to lowest terms by extracting and canceling out 2.

$$\frac{77}{3}\times 8$$

Express \frac{77}{3}\times 8 as a single fraction.

$$\frac{77\times 8}{3}$$

Multiply 77 and 8 to get 616.

$$\frac{616}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 7 \cdot 11}{3} = 205\frac{1}{3} = 205.33333333333334$$