Solve 1/3*2/3*7*7*17

$$\frac { 1 } { 3 } \times \frac { 2 } { 3 } \times 7 \times 7 \times 17$$

Evaluate

$$\frac{1666}{9}\approx 185.111111111$$

Solution Steps

Multiply \frac{1}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2}{3\times 3}\times 7\times 7\times 17$$

Do the multiplications in the fraction \frac{1\times 2}{3\times 3}.

$$\frac{2}{9}\times 7\times 7\times 17$$

Express \frac{2}{9}\times 7 as a single fraction.

$$\frac{2\times 7}{9}\times 7\times 17$$

Multiply 2 and 7 to get 14.

$$\frac{14}{9}\times 7\times 17$$

Express \frac{14}{9}\times 7 as a single fraction.

$$\frac{14\times 7}{9}\times 17$$

Multiply 14 and 7 to get 98.

$$\frac{98}{9}\times 17$$

Express \frac{98}{9}\times 17 as a single fraction.

$$\frac{98\times 17}{9}$$

Multiply 98 and 17 to get 1666.

$$\frac{1666}{9}$$

Factor

$$\frac{2 \cdot 7 ^ {2} \cdot 17}{3 ^ {2}} = 185\frac{1}{9} = 185.11111111111111$$