Solve 4535*215+2166*516div15-1322651262235+2265155351-5453556556655+132513567+842957*518716div31531=

$$4535 \times 215+2166 \times 516 \div 15-1322651262235+2265155351-5453556556655+132513567+842957 \times 518716 \div 31531=$$

Evaluate

$$-\frac{1067922687452916113}{157655}\approx -6.773795233 \cdot 10^{12}$$

Solution Steps

Multiply 4535 and 215 to get 975025.

$$975025+\frac{2166\times 516}{15}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Multiply 2166 and 516 to get 1117656.

$$975025+\frac{1117656}{15}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Reduce the fraction \frac{1117656}{15} to lowest terms by extracting and canceling out 3.

$$975025+\frac{372552}{5}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Convert 975025 to fraction \frac{4875125}{5}.

$$\frac{4875125}{5}+\frac{372552}{5}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Since \frac{4875125}{5} and \frac{372552}{5} have the same denominator, add them by adding their numerators.

$$\frac{4875125+372552}{5}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Add 4875125 and 372552 to get 5247677.

$$\frac{5247677}{5}-1322651262235+2265155351-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Convert 1322651262235 to fraction \frac{6613256311175}{5}.

$$\frac{5247677}{5}-\frac{6613256311175}{5}[phone]-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Since \frac{5247677}{5} and \frac{6613256311175}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5247677-6613256311175}{5}[phone]-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Subtract 6613256311175 from 5247677 to get -6613251063498.

$$-\frac{6613251063498}{5}[phone]-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Convert 2265155351 to fraction \frac{11325776755}{5}.

$$-\frac{6613251063498}{5}+\frac{11325776755}{5}-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Since -\frac{6613251063498}{5} and \frac{11325776755}{5} have the same denominator, add them by adding their numerators.

$$\frac{-6613251063498+11325776755}{5}-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Add -6613251063498 and 11325776755 to get -6601925286743.

$$-\frac{6601925286743}{5}-5453556556655+132513567+\frac{842957\times 518716}{31531}$$

Convert 5453556556655 to fraction \frac{27267782783275}{5}.

$$-\frac{6601925286743}{5}-\frac{27267782783275}{5}[phone]+\frac{842957\times 518716}{31531}$$

Since -\frac{6601925286743}{5} and \frac{27267782783275}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6601925286743-27267782783275}{5}[phone]+\frac{842957\times 518716}{31531}$$

Subtract 27267782783275 from -6601925286743 to get -33869708070018.

$$-\frac{33869708070018}{5}[phone]+\frac{842957\times 518716}{31531}$$

Convert 132513567 to fraction \frac{662567835}{5}.

$$-\frac{33869708070018}{5}+\frac{662567835}{5}+\frac{842957\times 518716}{31531}$$

Since -\frac{33869708070018}{5} and \frac{662567835}{5} have the same denominator, add them by adding their numerators.

$$\frac{-33869708070018+662567835}{5}+\frac{842957\times 518716}{31531}$$

Add -33869708070018 and 662567835 to get -33869045502183.

$$-\frac{33869045502183}{5}+\frac{842957\times 518716}{31531}$$

Multiply 842957 and 518716 to get 437255283212.

$$-\frac{33869045502183}{5}+\frac{437255283212}{31531}$$

Least common multiple of 5 and 31531 is 157655. Convert -\frac{33869045502183}{5} and \frac{437255283212}{31531} to fractions with denominator 157655.

$$-\frac{1067924873729332173}{157655}+\frac{2186276416060}{157655}$$

Since -\frac{1067924873729332173}{157655} and \frac{2186276416060}{157655} have the same denominator, add them by adding their numerators.

$$\frac{-1067924873729332173+2186276416060}{157655}$$

Add -1067924873729332173 and 2186276416060 to get -1067922687452916113.

$$-\frac{1067922687452916113}{157655}$$

Factor

$$-\frac{1067922687452916113}{157655} = -6773795232963\frac{134331}{157655} = -6773795232963.853$$