Solve 400-240/435-400*8*9

$$\frac{ 400-240 }{ 435-400 } \times 8 \times 9$$

Evaluate

$$\frac{2304}{7}\approx 329.142857143$$

Solution Steps

Subtract 240 from 400 to get 160.

$$\frac{160}{435-400}\times 8\times 9$$

Subtract 400 from 435 to get 35.

$$\frac{160}{35}\times 8\times 9$$

Reduce the fraction \frac{160}{35} to lowest terms by extracting and canceling out 5.

$$\frac{32}{7}\times 8\times 9$$

Express \frac{32}{7}\times 8 as a single fraction.

$$\frac{32\times 8}{7}\times 9$$

Multiply 32 and 8 to get 256.

$$\frac{256}{7}\times 9$$

Express \frac{256}{7}\times 9 as a single fraction.

$$\frac{256\times 9}{7}$$

Multiply 256 and 9 to get 2304.

$$\frac{2304}{7}$$

Factor

$$\frac{2 ^ {8} \cdot 3 ^ {2}}{7} = 329\frac{1}{7} = 329.14285714285717$$