Solve 3/3div(3/2-1)+(1-06)*(-5/2)^2]div(-5/3)-20}div(-1)^30

$$\frac { 3 } { 3 } \div ( \frac { 3 } { 2 } - 1 ) + ( 1 - 06 ) \times ( - \frac { 5 } { 2 } ) ^ { 2 } ] \div ( - \frac { 5 } { 3 } ) - 20 \} \div ( - 1 ) ^ { 30 }$$

Evaluate

$$\frac{33}{4}=8.25$$

Solution Steps

Divide 3 by 3 to get 1.

$$\frac{1}{\frac{3}{2}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{1}{\frac{3}{2}-\frac{2}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{3-2}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{\frac{1}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Divide 1 by \frac{1}{2} by multiplying 1 by the reciprocal of \frac{1}{2}.

$$1\times 2+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Multiply 1 and 2 to get 2.

$$2+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Multiply 0 and 6 to get 0.

$$2+\left(1-0\right)\left(-\frac{5}{2}\right)^{2}$$

Subtract 0 from 1 to get 1.

$$2+1\left(-\frac{5}{2}\right)^{2}$$

Calculate -\frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$2+1\times \frac{25}{4}$$

Multiply 1 and \frac{25}{4} to get \frac{25}{4}.

$$2+\frac{25}{4}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{8}{4}+\frac{25}{4}$$

Since \frac{8}{4} and \frac{25}{4} have the same denominator, add them by adding their numerators.

$$\frac{8+25}{4}$$

Add 8 and 25 to get 33.

$$\frac{33}{4}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2}} = 8\frac{1}{4} = 8.25$$