Solve 3/4+9,018div9+7/4-8/3

$$\frac { 3 } { 4 } + 9,018 \div 9 + \frac { 7 } { 4 } - \frac { 8 } { 3 }$$

Evaluate

$$\frac{6011}{6}\approx 1001.833333333$$

Solution Steps

Divide 9018 by 9 to get 1002.

$$\frac{3}{4}+1002+\frac{7}{4}-\frac{8}{3}$$

Convert 1002 to fraction \frac{4008}{4}.

$$\frac{3}{4}+\frac{4008}{4}+\frac{7}{4}-\frac{8}{3}$$

Since \frac{3}{4} and \frac{4008}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+4008}{4}+\frac{7}{4}-\frac{8}{3}$$

Add 3 and 4008 to get 4011.

$$\frac{4011}{4}+\frac{7}{4}-\frac{8}{3}$$

Since \frac{4011}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.

$$\frac{4011+7}{4}-\frac{8}{3}$$

Add 4011 and 7 to get 4018.

$$\frac{4018}{4}-\frac{8}{3}$$

Reduce the fraction \frac{4018}{4} to lowest terms by extracting and canceling out 2.

$$\frac{2009}{2}-\frac{8}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{2009}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{6027}{6}-\frac{16}{6}$$

Since \frac{6027}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6027-16}{6}$$

Subtract 16 from 6027 to get 6011.

$$\frac{6011}{6}$$

Factor

$$\frac{6011}{2 \cdot 3} = 1001\frac{5}{6} = 1001.8333333333334$$