Solve 1/2(2.6)*(8.2)

$$\frac{ 1 }{ 2 } (2.6) \times (8.2)$$

Evaluate

$$10.66$$

Solution Steps

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{13}{5}\times 8.2$$

Multiply \frac{1}{2} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 13}{2\times 5}\times 8.2$$

Do the multiplications in the fraction \frac{1\times 13}{2\times 5}.

$$\frac{13}{10}\times 8.2$$

Convert decimal number 8.2 to fraction \frac{82}{10}. Reduce the fraction \frac{82}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{10}\times \frac{41}{5}$$

Multiply \frac{13}{10} times \frac{41}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 41}{10\times 5}$$

Do the multiplications in the fraction \frac{13\times 41}{10\times 5}.

$$\frac{533}{50}$$

Factor

$$\frac{13 \cdot 41}{2 \cdot 5 ^ {2}} = 10\frac{33}{50} = 10.66$$