Solve 1/22.7*2.2

$$\frac{ 1 }{ 2 } 2.7 \times 2.2$$

Evaluate

$$2.97$$

Solution Steps

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{1}{2}\times \frac{27}{10}\times 2.2$$

Multiply \frac{1}{2} times \frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{2\times 10}\times 2.2$$

Do the multiplications in the fraction \frac{1\times 27}{2\times 10}.

$$\frac{27}{20}\times 2.2$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{27}{20}\times \frac{11}{5}$$

Multiply \frac{27}{20} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 11}{20\times 5}$$

Do the multiplications in the fraction \frac{27\times 11}{20\times 5}.

$$\frac{297}{100}$$

Factor

$$\frac{11 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {2}} = 2\frac{97}{100} = 2.97$$