Solve 94+100+94+85/90*100+70/75*100+84

$$94+100+94+ \frac{ 85 }{ 90 } \times 100+ \frac{ 70 }{ 75 } \times 100+84$$

Evaluate

$$\frac{5038}{9}\approx 559.777777778$$

Solution Steps

Add 94 and 100 to get 194.

$$194+94+\frac{85}{90}\times 100+\frac{70}{75}\times 100+84$$

Add 194 and 94 to get 288.

$$288+\frac{85}{90}\times 100+\frac{70}{75}\times 100+84$$

Reduce the fraction \frac{85}{90} to lowest terms by extracting and canceling out 5.

$$288+\frac{17}{18}\times 100+\frac{70}{75}\times 100+84$$

Express \frac{17}{18}\times 100 as a single fraction.

$$288+\frac{17\times 100}{18}+\frac{70}{75}\times 100+84$$

Multiply 17 and 100 to get 1700.

$$288+\frac{1700}{18}+\frac{70}{75}\times 100+84$$

Reduce the fraction \frac{1700}{18} to lowest terms by extracting and canceling out 2.

$$288+\frac{850}{9}+\frac{70}{75}\times 100+84$$

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

$$\frac{2592}{9}+\frac{850}{9}+\frac{70}{75}\times 100+84$$

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

$$\frac{2592+850}{9}+\frac{70}{75}\times 100+84$$

Add 2592 and 850 to get 3442.

$$\frac{3442}{9}+\frac{70}{75}\times 100+84$$

Reduce the fraction \frac{70}{75} to lowest terms by extracting and canceling out 5.

$$\frac{3442}{9}+\frac{14}{15}\times 100+84$$

Express \frac{14}{15}\times 100 as a single fraction.

$$\frac{3442}{9}+\frac{14\times 100}{15}+84$$

Multiply 14 and 100 to get 1400.

$$\frac{3442}{9}+\frac{1400}{15}+84$$

Reduce the fraction \frac{1400}{15} to lowest terms by extracting and canceling out 5.

$$\frac{3442}{9}+\frac{280}{3}+84$$

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

$$\frac{3442}{9}+\frac{840}{9}+84$$

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

$$\frac{3442+840}{9}+84$$

Add 3442 and 840 to get 4282.

$$\frac{4282}{9}+84$$

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

$$\frac{4282}{9}+\frac{756}{9}$$

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

$$\frac{4282+756}{9}$$

Add 4282 and 756 to get 5038.

$$\frac{5038}{9}$$

Factor

$$\frac{2 \cdot 11 \cdot 229}{3 ^ {2}} = 559\frac{7}{9} = 559.7777777777778$$