Solve 90/1*75/90+95/10-78/10-frac{761}{100}

$$\frac{ 90 }{ 1 } \times \frac{ 75 }{ 90 } + \frac{ 95 }{ 10 } - \frac{ 78 }{ 10 } - \frac{ 761 }{ 100 }$$

Evaluate

$$\frac{6909}{100}=69.09$$

Solution Steps

Anything divided by one gives itself.

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

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

$$90\times \frac{5}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Express 90\times \frac{5}{6} as a single fraction.

$$\frac{90\times 5}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Multiply 90 and 5 to get 450.

$$\frac{450}{6}+\frac{95}{10}-\frac{78}{10}-\frac{761}{100}$$

Divide 450 by 6 to get 75.

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

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

$$75+\frac{19}{2}-\frac{78}{10}-\frac{761}{100}$$

Convert 75 to fraction \frac{150}{2}.

$$\frac{150}{2}+\frac{19}{2}-\frac{78}{10}-\frac{761}{100}$$

Since \frac{150}{2} and \frac{19}{2} have the same denominator, add them by adding their numerators.

$$\frac{150+19}{2}-\frac{78}{10}-\frac{761}{100}$$

Add 150 and 19 to get 169.

$$\frac{169}{2}-\frac{78}{10}-\frac{761}{100}$$

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

$$\frac{169}{2}-\frac{39}{5}-\frac{761}{100}$$

Least common multiple of 2 and 5 is 10. Convert \frac{169}{2} and \frac{39}{5} to fractions with denominator 10.

$$\frac{845}{10}-\frac{78}{10}-\frac{761}{100}$$

Since \frac{845}{10} and \frac{78}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{845-78}{10}-\frac{761}{100}$$

Subtract 78 from 845 to get 767.

$$\frac{767}{10}-\frac{761}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{767}{10} and \frac{761}{100} to fractions with denominator 100.

$$\frac{7670}{100}-\frac{761}{100}$$

Since \frac{7670}{100} and \frac{761}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7670-761}{100}$$

Subtract 761 from 7670 to get 6909.

$$\frac{6909}{100}$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 47}{2 ^ {2} \cdot 5 ^ {2}} = 69\frac{9}{100} = 69.09$$