Solve 90/10*75/90+95/10-78/10-frac{761}{100}

$$\frac { 90 } { 10 } \times \frac { 75 } { 90 } + \frac { 95 } { 10 } - \frac { 78 } { 10 } - \frac { 761 } { 100 }$$

Evaluate

$$\frac{159}{100}=1.59$$

Solution Steps

Divide 90 by 10 to get 9.

$$9\times \frac{75}{90}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Reduce the fraction \frac{75}{90} to lowest terms by extracting and canceling out 15.

$$9\times \frac{5}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Express 9\times \frac{5}{6} as a single fraction.

$$\frac{9\times 5}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Reduce the fraction \frac{95}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{2}+\frac{19}{2}-\frac{78}{10}-\frac{761}{100}$$

Since \frac{15}{2} and \frac{19}{2} have the same denominator, add them by adding their numerators.

$$\frac{15+19}{2}-\frac{78}{10}-\frac{761}{100}$$

Add 15 and 19 to get 34.

$$\frac{34}{2}-\frac{78}{10}-\frac{761}{100}$$

Divide 34 by 2 to get 17.

$$17-\frac{78}{10}-\frac{761}{100}$$

Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$17-\frac{39}{5}-\frac{761}{100}$$

Convert 17 to fraction \frac{85}{5}.

$$\frac{85}{5}-\frac{39}{5}-\frac{761}{100}$$

Since \frac{85}{5} and \frac{39}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-39}{5}-\frac{761}{100}$$

Subtract 39 from 85 to get 46.

$$\frac{46}{5}-\frac{761}{100}$$

Least common multiple of 5 and 100 is 100. Convert \frac{46}{5} and \frac{761}{100} to fractions with denominator 100.

$$\frac{920}{100}-\frac{761}{100}$$

Since \frac{920}{100} and \frac{761}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{920-761}{100}$$

Subtract 761 from 920 to get 159.

$$\frac{159}{100}$$

Factor

$$\frac{3 \cdot 53}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{59}{100} = 1.59$$