Solve 2-{1/2:4-6^0+[5+(2^2:0.3)]}

$$2 - \{ \frac { 1 } { 2 } : 4 - 6 ^ { 0 } + [ 5 + ( 2 ^ { 2 } : 0.3 ) ] \}$$

Evaluate

$$-\frac{371}{24}\approx -15.458333333$$

Solution Steps

Express \frac{\frac{1}{2}}{4} as a single fraction.

$$2-\left(\frac{1}{2\times 4}-6^{0}+5+\frac{2^{2}}{0.3}\right)$$

Multiply 2 and 4 to get 8.

$$2-\left(\frac{1}{8}-6^{0}+5+\frac{2^{2}}{0.3}\right)$$

Calculate 6 to the power of 0 and get 1.

$$2-\left(\frac{1}{8}-1+5+\frac{2^{2}}{0.3}\right)$$

Subtract 1 from \frac{1}{8} to get -\frac{7}{8}.

$$2-\left(-\frac{7}{8}+5+\frac{2^{2}}{0.3}\right)$$

Add -\frac{7}{8} and 5 to get \frac{33}{8}.

$$2-\left(\frac{33}{8}+\frac{2^{2}}{0.3}\right)$$

Calculate 2 to the power of 2 and get 4.

$$2-\left(\frac{33}{8}+\frac{4}{0.3}\right)$$

Expand \frac{4}{0.3} by multiplying both numerator and the denominator by 10.

$$2-\left(\frac{33}{8}+\frac{40}{3}\right)$$

Add \frac{33}{8} and \frac{40}{3} to get \frac{419}{24}.

$$2-\frac{419}{24}$$

Subtract \frac{419}{24} from 2 to get -\frac{371}{24}.

$$-\frac{371}{24}$$

Factor

$$-\frac{371}{24} = -15\frac{11}{24} = -15.458333333333334$$