Solve 10/5+2/2.244-10000*64/2

$$\frac{ 10 }{ 5 } + \frac{ 2 }{ 2.244 } -10000 \times \frac{ 64 }{ 2 }$$

Evaluate

$$-\frac{179518378}{561}\approx -319997.108734403$$

Solution Steps

Divide 10 by 5 to get 2.

$$2+\frac{2}{2.244}-10000\times \frac{64}{2}$$

Expand \frac{2}{2.244} by multiplying both numerator and the denominator by 1000.

$$2+\frac{2000}{2244}-10000\times \frac{64}{2}$$

Reduce the fraction \frac{2000}{2244} to lowest terms by extracting and canceling out 4.

$$2+\frac{500}{561}-10000\times \frac{64}{2}$$

Convert 2 to fraction \frac{1122}{561}.

$$\frac{1122}{561}+\frac{500}{561}-10000\times \frac{64}{2}$$

Since \frac{1122}{561} and \frac{500}{561} have the same denominator, add them by adding their numerators.

$$\frac{1122+500}{561}-10000\times \frac{64}{2}$$

Add 1122 and 500 to get 1622.

$$\frac{1622}{561}-10000\times \frac{64}{2}$$

Divide 64 by 2 to get 32.

$$\frac{1622}{561}-10000\times 32$$

Multiply 10000 and 32 to get 320000.

$$\frac{1622}{561}-320000$$

Convert 320000 to fraction \frac{179520000}{561}.

$$\frac{1622}{561}-\frac{179520000}{561}$$

Since \frac{1622}{561} and \frac{179520000}{561} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1622-179520000}{561}$$

Subtract 179520000 from 1622 to get -179518378.

$$-\frac{179518378}{561}$$

Factor

$$-\frac{179518378}{561} = -319997\frac{61}{561} = -319997.10873440286$$