Solve 1/3*286.52*8

$$\frac{ 1 }{ 3 } \times 286.52 \times 8$$

Evaluate

$$\frac{57304}{75}\approx 764.053333333$$

Solution Steps

Convert decimal number 286.52 to fraction \frac{28652}{100}. Reduce the fraction \frac{28652}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{7163}{25}\times 8$$

Multiply \frac{1}{3} times \frac{7163}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7163}{3\times 25}\times 8$$

Do the multiplications in the fraction \frac{1\times 7163}{3\times 25}.

$$\frac{7163}{75}\times 8$$

Express \frac{7163}{75}\times 8 as a single fraction.

$$\frac{7163\times 8}{75}$$

Multiply 7163 and 8 to get 57304.

$$\frac{57304}{75}$$

Factor

$$\frac{13 \cdot 19 \cdot 29 \cdot 2 ^ {3}}{3 \cdot 5 ^ {2}} = 764\frac{4}{75} = 764.0533333333333$$