Solve 23/256+93/1024/2

$$\frac { \frac { 23 } { 256 } + \frac { 93 } { 1024 } } { 2 }$$

Evaluate

$$\frac{185}{2048}=0.090332031$$

Solution Steps

Least common multiple of 256 and 1024 is 1024. Convert \frac{23}{256} and \frac{93}{1024} to fractions with denominator 1024.

$$\frac{\frac{92}{1024}+\frac{93}{1024}}{2}$$

Since \frac{92}{1024} and \frac{93}{1024} have the same denominator, add them by adding their numerators.

$$\frac{\frac{92+93}{1024}}{2}$$

Add 92 and 93 to get 185.

$$\frac{\frac{185}{1024}}{2}$$

Express \frac{\frac{185}{1024}}{2} as a single fraction.

$$\frac{185}{1024\times 2}$$

Multiply 1024 and 2 to get 2048.

$$\frac{185}{2048}$$

Factor

$$\frac{5 \cdot 37}{2 ^ {11}} = 0.09033203125$$