Solve 2^-3+242/4+5^0+1/4

$$2 ^ { - 3 } + 24 \frac { 2 } { 4 } + 5 ^ { 0 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{207}{8}=25.875$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{1}{8}+\frac{24\times 4+2}{4}+5^{0}+\frac{1}{4}$$

Multiply 24 and 4 to get 96.

$$\frac{1}{8}+\frac{96+2}{4}+5^{0}+\frac{1}{4}$$

Add 96 and 2 to get 98.

$$\frac{1}{8}+\frac{98}{4}+5^{0}+\frac{1}{4}$$

Reduce the fraction \frac{98}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}+\frac{49}{2}+5^{0}+\frac{1}{4}$$

Add \frac{1}{8} and \frac{49}{2} to get \frac{197}{8}.

$$\frac{197}{8}+5^{0}+\frac{1}{4}$$

Calculate 5 to the power of 0 and get 1.

$$\frac{197}{8}+1+\frac{1}{4}$$

Add \frac{197}{8} and 1 to get \frac{205}{8}.

$$\frac{205}{8}+\frac{1}{4}$$

Add \frac{205}{8} and \frac{1}{4} to get \frac{207}{8}.

$$\frac{207}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {3}} = 25\frac{7}{8} = 25.875$$