Solve 3/4+9.018div9+7/4-8/3

$$\frac { 3 } { 4 } + 9.018 \div 9 + \frac { 7 } { 4 } - \frac { 8 } { 3 }$$

Evaluate

$$\frac{1253}{1500}\approx 0.835333333$$

Solution Steps

Expand \frac{9.018}{9} by multiplying both numerator and the denominator by 1000.

$$\frac{3}{4}+\frac{9018}{9000}+\frac{7}{4}-\frac{8}{3}$$

Reduce the fraction \frac{9018}{9000} to lowest terms by extracting and canceling out 18.

$$\frac{3}{4}+\frac{501}{500}+\frac{7}{4}-\frac{8}{3}$$

Least common multiple of 4 and 500 is 500. Convert \frac{3}{4} and \frac{501}{500} to fractions with denominator 500.

$$\frac{375}{500}+\frac{501}{500}+\frac{7}{4}-\frac{8}{3}$$

Since \frac{375}{500} and \frac{501}{500} have the same denominator, add them by adding their numerators.

$$\frac{375+501}{500}+\frac{7}{4}-\frac{8}{3}$$

Add 375 and 501 to get 876.

$$\frac{876}{500}+\frac{7}{4}-\frac{8}{3}$$

Reduce the fraction \frac{876}{500} to lowest terms by extracting and canceling out 4.

$$\frac{219}{125}+\frac{7}{4}-\frac{8}{3}$$

Least common multiple of 125 and 4 is 500. Convert \frac{219}{125} and \frac{7}{4} to fractions with denominator 500.

$$\frac{876}{500}+\frac{875}{500}-\frac{8}{3}$$

Since \frac{876}{500} and \frac{875}{500} have the same denominator, add them by adding their numerators.

$$\frac{876+875}{500}-\frac{8}{3}$$

Add 876 and 875 to get 1751.

$$\frac{1751}{500}-\frac{8}{3}$$

Least common multiple of 500 and 3 is 1500. Convert \frac{1751}{500} and \frac{8}{3} to fractions with denominator 1500.

$$\frac{5253}{1500}-\frac{4000}{1500}$$

Since \frac{5253}{1500} and \frac{4000}{1500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5253-4000}{1500}$$

Subtract 4000 from 5253 to get 1253.

$$\frac{1253}{1500}$$

Factor

$$\frac{7 \cdot 179}{3 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 0.8353333333333334$$