Solve 401/3392/3

$$40 \frac{ 1 }{ 3 } 39 \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{14399}{9}\approx 1599.888888889$$

Solution Steps

Multiply 40 and 3 to get 120.

$$\frac{120+1}{3}\times \frac{39\times 3+2}{3}$$

Add 120 and 1 to get 121.

$$\frac{121}{3}\times \frac{39\times 3+2}{3}$$

Multiply 39 and 3 to get 117.

$$\frac{121}{3}\times \frac{117+2}{3}$$

Add 117 and 2 to get 119.

$$\frac{121}{3}\times \frac{119}{3}$$

Multiply \frac{121}{3} times \frac{119}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{121\times 119}{3\times 3}$$

Do the multiplications in the fraction \frac{121\times 119}{3\times 3}.

$$\frac{14399}{9}$$

Factor

$$\frac{7 \cdot 11 ^ {2} \cdot 17}{3 ^ {2}} = 1599\frac{8}{9} = 1599.888888888889$$