Solve 495400:308-426*68+(84003-14658):201*45

$$495400 : 308 - 426 \cdot 68 + ( 84003 - 14658 ) : 201 \cdot 45$$

Evaluate

$$-\frac{911261}{77}\approx -11834.558441558$$

Solution Steps

Reduce the fraction \frac{495400}{308} to lowest terms by extracting and canceling out 4.

$$\frac{123850}{77}-426\times 68+\frac{84003-14658}{201}\times 45$$

Multiply 426 and 68 to get 28968.

$$\frac{123850}{77}-28968+\frac{84003-14658}{201}\times 45$$

Convert 28968 to fraction \frac{2230536}{77}.

$$\frac{123850}{77}-\frac{2230536}{77}+\frac{84003-14658}{201}\times 45$$

Since \frac{123850}{77} and \frac{2230536}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123850-2230536}{77}+\frac{84003-14658}{201}\times 45$$

Subtract 2230536 from 123850 to get -2106686.

$$-\frac{2106686}{77}+\frac{84003-14658}{201}\times 45$$

Subtract 14658 from 84003 to get 69345.

$$-\frac{2106686}{77}+\frac{69345}{201}\times 45$$

Divide 69345 by 201 to get 345.

$$-\frac{2106686}{77}+345\times 45$$

Multiply 345 and 45 to get 15525.

$$-\frac{2106686}{77}+15525$$

Convert 15525 to fraction \frac{1195425}{77}.

$$-\frac{2106686}{77}+\frac{1195425}{77}$$

Since -\frac{2106686}{77} and \frac{1195425}{77} have the same denominator, add them by adding their numerators.

$$\frac{-2106686+1195425}{77}$$

Add -2106686 and 1195425 to get -911261.

$$-\frac{911261}{77}$$

Factor

$$-\frac{911261}{77} = -11834\frac{43}{77} = -11834.558441558442$$