Solve 94+100+94+100/90*85+70*4div3+84+99+90+89+93

$$94+100+94+ \frac{ 100 }{ 90 } \times 85+70 \times 4 \div 3+84+99+90+89+93$$

Evaluate

$$\frac{8377}{9}\approx 930.777777778$$

Solution Steps

Add 94 and 100 to get 194.

$$194+94+\frac{100}{90}\times 85+\frac{70\times 4}{3}+84+99+90+89+93$$

Add 194 and 94 to get 288.

$$288+\frac{100}{90}\times 85+\frac{70\times 4}{3}+84+99+90+89+93$$

Reduce the fraction \frac{100}{90} to lowest terms by extracting and canceling out 10.

$$288+\frac{10}{9}\times 85+\frac{70\times 4}{3}+84+99+90+89+93$$

Express \frac{10}{9}\times 85 as a single fraction.

$$288+\frac{10\times 85}{9}+\frac{70\times 4}{3}+84+99+90+89+93$$

Multiply 10 and 85 to get 850.

$$288+\frac{850}{9}+\frac{70\times 4}{3}+84+99+90+89+93$$

Convert 288 to fraction \frac{2592}{9}.

$$\frac{2592}{9}+\frac{850}{9}+\frac{70\times 4}{3}+84+99+90+89+93$$

Since \frac{2592}{9} and \frac{850}{9} have the same denominator, add them by adding their numerators.

$$\frac{2592+850}{9}+\frac{70\times 4}{3}+84+99+90+89+93$$

Add 2592 and 850 to get 3442.

$$\frac{3442}{9}+\frac{70\times 4}{3}+84+99+90+89+93$$

Multiply 70 and 4 to get 280.

$$\frac{3442}{9}+\frac{280}{3}+84+99+90+89+93$$

Least common multiple of 9 and 3 is 9. Convert \frac{3442}{9} and \frac{280}{3} to fractions with denominator 9.

$$\frac{3442}{9}+\frac{840}{9}+84+99+90+89+93$$

Since \frac{3442}{9} and \frac{840}{9} have the same denominator, add them by adding their numerators.

$$\frac{3442+840}{9}+84+99+90+89+93$$

Add 3442 and 840 to get 4282.

$$\frac{4282}{9}+84+99+90+89+93$$

Convert 84 to fraction \frac{756}{9}.

$$\frac{4282}{9}+\frac{756}{9}+99+90+89+93$$

Since \frac{4282}{9} and \frac{756}{9} have the same denominator, add them by adding their numerators.

$$\frac{4282+756}{9}+99+90+89+93$$

Add 4282 and 756 to get 5038.

$$\frac{5038}{9}+99+90+89+93$$

Convert 99 to fraction \frac{891}{9}.

$$\frac{5038}{9}+\frac{891}{9}+90+89+93$$

Since \frac{5038}{9} and \frac{891}{9} have the same denominator, add them by adding their numerators.

$$\frac{5038+891}{9}+90+89+93$$

Add 5038 and 891 to get 5929.

$$\frac{5929}{9}+90+89+93$$

Convert 90 to fraction \frac{810}{9}.

$$\frac{5929}{9}+\frac{810}{9}+89+93$$

Since \frac{5929}{9} and \frac{810}{9} have the same denominator, add them by adding their numerators.

$$\frac{5929+810}{9}+89+93$$

Add 5929 and 810 to get 6739.

$$\frac{6739}{9}+89+93$$

Convert 89 to fraction \frac{801}{9}.

$$\frac{6739}{9}+\frac{801}{9}+93$$

Since \frac{6739}{9} and \frac{801}{9} have the same denominator, add them by adding their numerators.

$$\frac{6739+801}{9}+93$$

Add 6739 and 801 to get 7540.

$$\frac{7540}{9}+93$$

Convert 93 to fraction \frac{837}{9}.

$$\frac{7540}{9}+\frac{837}{9}$$

Since \frac{7540}{9} and \frac{837}{9} have the same denominator, add them by adding their numerators.

$$\frac{7540+837}{9}$$

Add 7540 and 837 to get 8377.

$$\frac{8377}{9}$$

Factor

$$\frac{8377}{3 ^ {2}} = 930\frac{7}{9} = 930.7777777777778$$