Solve 756/90+133/500-2/90

$$\frac{ 756 }{ 90 } + \frac{ 133 }{ 500 } - \frac{ 2 }{ 90 }$$

Evaluate

$$\frac{38897}{4500}\approx 8.643777778$$

Solution Steps

Reduce the fraction \frac{756}{90} to lowest terms by extracting and canceling out 18.

$$\frac{42}{5}+\frac{133}{500}-\frac{2}{90}$$

Least common multiple of 5 and 500 is 500. Convert \frac{42}{5} and \frac{133}{500} to fractions with denominator 500.

$$\frac{4200}{500}+\frac{133}{500}-\frac{2}{90}$$

Since \frac{4200}{500} and \frac{133}{500} have the same denominator, add them by adding their numerators.

$$\frac{4200+133}{500}-\frac{2}{90}$$

Add 4200 and 133 to get 4333.

$$\frac{4333}{500}-\frac{2}{90}$$

Reduce the fraction \frac{2}{90} to lowest terms by extracting and canceling out 2.

$$\frac{4333}{500}-\frac{1}{45}$$

Least common multiple of 500 and 45 is 4500. Convert \frac{4333}{500} and \frac{1}{45} to fractions with denominator 4500.

$$\frac{38997}{4500}-\frac{100}{4500}$$

Since \frac{38997}{4500} and \frac{100}{4500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38997-100}{4500}$$

Subtract 100 from 38997 to get 38897.

$$\frac{38897}{4500}$$

Factor

$$\frac{97 \cdot 401}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 8\frac{2897}{4500} = 8.643777777777778$$