Solve 12div62-312+646div69-31=

$$12 \div 62-312+646 \div 69-31=$$

Evaluate

$$-\frac{713237}{2139}\approx -333.444132772$$

Solution Steps

Reduce the fraction \frac{12}{62} to lowest terms by extracting and canceling out 2.

$$\frac{6}{31}-312+\frac{646}{69}-31$$

Convert 312 to fraction \frac{9672}{31}.

$$\frac{6}{31}-\frac{9672}{31}+\frac{646}{69}-31$$

Since \frac{6}{31} and \frac{9672}{31} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-9672}{31}+\frac{646}{69}-31$$

Subtract 9672 from 6 to get -9666.

$$-\frac{9666}{31}+\frac{646}{69}-31$$

Least common multiple of 31 and 69 is 2139. Convert -\frac{9666}{31} and \frac{646}{69} to fractions with denominator 2139.

$$-\frac{666954}{2139}+\frac{20026}{2139}-31$$

Since -\frac{666954}{2139} and \frac{20026}{2139} have the same denominator, add them by adding their numerators.

$$\frac{-666954+20026}{2139}-31$$

Add -666954 and 20026 to get -646928.

$$-\frac{646928}{2139}-31$$

Convert 31 to fraction \frac{66309}{2139}.

$$-\frac{646928}{2139}-\frac{66309}{2139}$$

Since -\frac{646928}{2139} and \frac{66309}{2139} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-646928-66309}{2139}$$

Subtract 66309 from -646928 to get -713237.

$$-\frac{713237}{2139}$$

Factor

$$-\frac{713237}{2139} = -333\frac{950}{2139} = -333.44413277232354$$