Solve 21+46-35div4-.1649020*494.516sqrt{4}

$$21+46-35 \div 4-.1649020 \times 494.516 \sqrt{ 4 }$$

Evaluate

$$-104.843354864$$

Solution Steps

Add 21 and 46 to get 67.

$$67-\frac{35}{4}-0.164902\times 494.516\sqrt{4}$$

Convert 67 to fraction \frac{268}{4}.

$$\frac{268}{4}-\frac{35}{4}-0.164902\times 494.516\sqrt{4}$$

Since \frac{268}{4} and \frac{35}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{268-35}{4}-0.164902\times 494.516\sqrt{4}$$

Subtract 35 from 268 to get 233.

$$\frac{233}{4}-0.164902\times 494.516\sqrt{4}$$

Multiply 0.164902 and 494.516 to get 81.546677432.

$$\frac{233}{4}-81.546677432\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$\frac{233}{4}-81.546677432\times 2$$

Multiply 81.546677432 and 2 to get 163.093354864.

$$\frac{233}{4}-163.093354864$$

Convert decimal number 163.093354864 to fraction \frac{163093354864}{1000000000}. Reduce the fraction \frac{163093354864}{1000000000} to lowest terms by extracting and canceling out 16.

$$\frac{233}{4}-\frac{10193334679}{62500000}$$

Least common multiple of 4 and 62500000 is 62500000. Convert \frac{233}{4} and \frac{10193334679}{62500000} to fractions with denominator 62500000.

$$\frac{3640625000}{62500000}-\frac{10193334679}{62500000}$$

Since \frac{3640625000}{62500000} and \frac{10193334679}{62500000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3640625000-10193334679}{62500000}$$

Subtract 10193334679 from 3640625000 to get -6552709679.

$$-\frac{6552709679}{62500000}$$

Factor

$$-104.843354864$$