Solve {left(1/4right)}^3+31/4

$${ \left( \frac{ 1 }{ 4 } \right) }^{ 3 } +3 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{209}{64}=3.265625$$

Solution Steps

Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.

$$\frac{1}{64}+\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{1}{64}+\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{1}{64}+\frac{13}{4}$$

Least common multiple of 64 and 4 is 64. Convert \frac{1}{64} and \frac{13}{4} to fractions with denominator 64.

$$\frac{1}{64}+\frac{208}{64}$$

Since \frac{1}{64} and \frac{208}{64} have the same denominator, add them by adding their numerators.

$$\frac{1+208}{64}$$

Add 1 and 208 to get 209.

$$\frac{209}{64}$$

Factor

$$\frac{11 \cdot 19}{2 ^ {6}} = 3\frac{17}{64} = 3.265625$$