Solve 1+1div1*4-5div8*{46174}_{2}d/dxleft(65sqrt{4}right)

$$1+1 \div 1 \times 4-5 \div 8 \times { 46174 }_{ 2 } \frac{d}{d x } \left(65 \sqrt{ 4 } \right)$$

Evaluate

$$-\frac{115415}{4}=-28853.75$$

Solution Steps

Divide 1 by 1 to get 1.

$$1+1\times 4-\frac{5}{8}\times 46174$$

Multiply 1 and 4 to get 4.

$$1+4-\frac{5}{8}\times 46174$$

Add 1 and 4 to get 5.

$$5-\frac{5}{8}\times 46174$$

Express \frac{5}{8}\times 46174 as a single fraction.

$$5-\frac{5\times 46174}{8}$$

Multiply 5 and 46174 to get 230870.

$$5-\frac{230870}{8}$$

Reduce the fraction \frac{230870}{8} to lowest terms by extracting and canceling out 2.

$$5-\frac{115435}{4}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{20}{4}-\frac{115435}{4}$$

Since \frac{20}{4} and \frac{115435}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-115435}{4}$$

Subtract 115435 from 20 to get -115415.

$$-\frac{115415}{4}$$

Factor

$$-\frac{115415}{4} = -28853\frac{3}{4} = -28853.75$$