Solve 23/8*left(23/8+1right)

$$\frac{ 23 }{ 8 } \times \left( \frac{ 23 }{ 8 } +1 \right)$$

Evaluate

$$\frac{713}{64}=11.140625$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\frac{23}{8}\left(\frac{23}{8}+\frac{8}{8}\right)$$

Since \frac{23}{8} and \frac{8}{8} have the same denominator, add them by adding their numerators.

$$\frac{23}{8}\times \frac{23+8}{8}$$

Add 23 and 8 to get 31.

$$\frac{23}{8}\times \frac{31}{8}$$

Multiply \frac{23}{8} times \frac{31}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 31}{8\times 8}$$

Do the multiplications in the fraction \frac{23\times 31}{8\times 8}.

$$\frac{713}{64}$$

Factor

$$\frac{23 \cdot 31}{2 ^ {6}} = 11\frac{9}{64} = 11.140625$$