Solve 5+1/47/48^5

$$\frac { 5 + \frac { 1 } { 47 } } { 48 ^ { 5 } }$$

Evaluate

$$\frac{59}{2993946624}\approx 0.00000002$$

Solution Steps

Convert 5 to fraction \frac{235}{47}.

$$\frac{\frac{235}{47}+\frac{1}{47}}{48^{5}}$$

Since \frac{235}{47} and \frac{1}{47} have the same denominator, add them by adding their numerators.

$$\frac{\frac{235+1}{47}}{48^{5}}$$

Add 235 and 1 to get 236.

$$\frac{\frac{236}{47}}{48^{5}}$$

Calculate 48 to the power of 5 and get 254803968.

$$\frac{\frac{236}{47}}{254803968}$$

Express \frac{\frac{236}{47}}{254803968} as a single fraction.

$$\frac{236}{47\times 254803968}$$

Multiply 47 and 254803968 to get 11975786496.

$$\frac{236}{11975786496}$$

Reduce the fraction \frac{236}{11975786496} to lowest terms by extracting and canceling out 4.

$$\frac{59}{2993946624}$$

Factor

$$\frac{59}{2 ^ {18} \cdot 3 ^ {5} \cdot 47} = 1.9706430143759304 \times 10^{-8}$$