Solve 11.5*11/5

$$11.5 \times 1 \frac{ 1 }{ 5 }$$

Evaluate

$$13.8$$

Solution Steps

Multiply 1 and 5 to get 5.

$$11.5\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$11.5\times \frac{6}{5}$$

Convert decimal number 11.5 to fraction \frac{115}{10}. Reduce the fraction \frac{115}{10} to lowest terms by extracting and canceling out 5.

$$\frac{23}{2}\times \frac{6}{5}$$

Multiply \frac{23}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 6}{2\times 5}$$

Do the multiplications in the fraction \frac{23\times 6}{2\times 5}.

$$\frac{138}{10}$$

Reduce the fraction \frac{138}{10} to lowest terms by extracting and canceling out 2.

$$\frac{69}{5}$$

Factor

$$\frac{3 \cdot 23}{5} = 13\frac{4}{5} = 13.8$$