Solve 10/1-141/100-47/9+453/100

$$\frac{ 10 }{ 1 } - \frac{ 141 }{ 100 } - \frac{ 47 }{ 9 } + \frac{ 453 }{ 100 }$$

Evaluate

$$\frac{1777}{225}\approx 7.897777778$$

Solution Steps

Anything divided by one gives itself.

$$10-\frac{141}{100}-\frac{47}{9}+\frac{453}{100}$$

Convert 10 to fraction \frac{1000}{100}.

$$\frac{1000}{100}-\frac{141}{100}-\frac{47}{9}+\frac{453}{100}$$

Since \frac{1000}{100} and \frac{141}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1000-141}{100}-\frac{47}{9}+\frac{453}{100}$$

Subtract 141 from 1000 to get 859.

$$\frac{859}{100}-\frac{47}{9}+\frac{453}{100}$$

Least common multiple of 100 and 9 is 900. Convert \frac{859}{100} and \frac{47}{9} to fractions with denominator 900.

$$\frac{7731}{900}-\frac{4700}{900}+\frac{453}{100}$$

Since \frac{7731}{900} and \frac{4700}{900} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7731-4700}{900}+\frac{453}{100}$$

Subtract 4700 from 7731 to get 3031.

$$\frac{3031}{900}+\frac{453}{100}$$

Least common multiple of 900 and 100 is 900. Convert \frac{3031}{900} and \frac{453}{100} to fractions with denominator 900.

$$\frac{3031}{900}+\frac{4077}{900}$$

Since \frac{3031}{900} and \frac{4077}{900} have the same denominator, add them by adding their numerators.

$$\frac{3031+4077}{900}$$

Add 3031 and 4077 to get 7108.

$$\frac{7108}{900}$$

Reduce the fraction \frac{7108}{900} to lowest terms by extracting and canceling out 4.

$$\frac{1777}{225}$$

Factor

$$\frac{1777}{3 ^ {2} \cdot 5 ^ {2}} = 7\frac{202}{225} = 7.897777777777778$$