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

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

Evaluate

$$\frac{576}{175}\approx 3.291428571$$

Solution Steps

Subtract 240 from 400 to get 160.

$$\frac{160}{435-400}\times 0.8\times 0.9$$

Subtract 400 from 435 to get 35.

$$\frac{160}{35}\times 0.8\times 0.9$$

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

$$\frac{32}{7}\times 0.8\times 0.9$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{32}{7}\times \frac{4}{5}\times 0.9$$

Multiply \frac{32}{7} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 4}{7\times 5}\times 0.9$$

Do the multiplications in the fraction \frac{32\times 4}{7\times 5}.

$$\frac{128}{35}\times 0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{128}{35}\times \frac{9}{10}$$

Multiply \frac{128}{35} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{128\times 9}{35\times 10}$$

Do the multiplications in the fraction \frac{128\times 9}{35\times 10}.

$$\frac{1152}{350}$$

Reduce the fraction \frac{1152}{350} to lowest terms by extracting and canceling out 2.

$$\frac{576}{175}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{7 \cdot 5 ^ {2}} = 3\frac{51}{175} = 3.2914285714285714$$