Solve 11/12quad4+5-20*30div3

$$\frac { 11 } { 12 } \quad 4 + 5 - 20 \times 30 \div 3$$

Evaluate

$$-\frac{574}{3}\approx -191.333333333$$

Solution Steps

Express \frac{11}{12}\times 4 as a single fraction.

$$\frac{11\times 4}{12}+5-\frac{20\times 30}{3}$$

Multiply 11 and 4 to get 44.

$$\frac{44}{12}+5-\frac{20\times 30}{3}$$

Reduce the fraction \frac{44}{12} to lowest terms by extracting and canceling out 4.

$$\frac{11}{3}+5-\frac{20\times 30}{3}$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{11}{3}+\frac{15}{3}-\frac{20\times 30}{3}$$

Since \frac{11}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$\frac{11+15}{3}-\frac{20\times 30}{3}$$

Add 11 and 15 to get 26.

$$\frac{26}{3}-\frac{20\times 30}{3}$$

Multiply 20 and 30 to get 600.

$$\frac{26}{3}-\frac{600}{3}$$

Since \frac{26}{3} and \frac{600}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-600}{3}$$

Subtract 600 from 26 to get -574.

$$-\frac{574}{3}$$

Factor

$$-\frac{574}{3} = -191\frac{1}{3} = -191.33333333333334$$