Solve 244^2-1/3*5*8*4

$$244 ^ { 2 } - \frac { 1 } { 3 } \times 5 \times 8 \times 4$$

Evaluate

$$\frac{178448}{3}\approx 59482.666666667$$

Solution Steps

Calculate 244 to the power of 2 and get 59536.

$$59536-\frac{1}{3}\times 5\times 8\times 4$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$59536-\frac{5}{3}\times 8\times 4$$

Express \frac{5}{3}\times 8 as a single fraction.

$$59536-\frac{5\times 8}{3}\times 4$$

Multiply 5 and 8 to get 40.

$$59536-\frac{40}{3}\times 4$$

Express \frac{40}{3}\times 4 as a single fraction.

$$59536-\frac{40\times 4}{3}$$

Multiply 40 and 4 to get 160.

$$59536-\frac{160}{3}$$

Convert 59536 to fraction \frac{178608}{3}.

$$\frac{178608}{3}-\frac{160}{3}$$

Since \frac{178608}{3} and \frac{160}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{178608-160}{3}$$

Subtract 160 from 178608 to get 178448.

$$\frac{178448}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 19 \cdot 587}{3} = 59482\frac{2}{3} = 59482.666666666664$$