Solve .7(800+(785-((800-85)div2)))=

$$.7(800+(785-((800-85) \div 2)))=$$

Evaluate

$$859.25$$

Solution Steps

Add 800 and 785 to get 1585.

$$0.7\left(1585-\frac{800-85}{2}\right)$$

Subtract 85 from 800 to get 715.

$$0.7\left(1585-\frac{715}{2}\right)$$

Convert 1585 to fraction \frac{3170}{2}.

$$0.7\left(\frac{3170}{2}-\frac{715}{2}\right)$$

Since \frac{3170}{2} and \frac{715}{2} have the same denominator, subtract them by subtracting their numerators.

$$0.7\times \frac{3170-715}{2}$$

Subtract 715 from 3170 to get 2455.

$$0.7\times \frac{2455}{2}$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{7}{10}\times \frac{2455}{2}$$

Multiply \frac{7}{10} times \frac{2455}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2455}{10\times 2}$$

Do the multiplications in the fraction \frac{7\times 2455}{10\times 2}.

$$\frac{17185}{20}$$

Reduce the fraction \frac{17185}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3437}{4}$$

Factor

$$\frac{7 \cdot 491}{2 ^ {2}} = 859\frac{1}{4} = 859.25$$