Solve 4/30.9*0.9*0.9=

$$\frac{ 4 }{ 3 } 0.9 \times 0.9 \times 0.9=$$

Evaluate

$$0.972$$

Solution Steps

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{4}{3}\times \frac{9}{10}\times 0.9\times 0.9$$

Multiply \frac{4}{3} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 9}{3\times 10}\times 0.9\times 0.9$$

Do the multiplications in the fraction \frac{4\times 9}{3\times 10}.

$$\frac{36}{30}\times 0.9\times 0.9$$

Reduce the fraction \frac{36}{30} to lowest terms by extracting and canceling out 6.

$$\frac{6}{5}\times 0.9\times 0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{6}{5}\times \frac{9}{10}\times 0.9$$

Multiply \frac{6}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 9}{5\times 10}\times 0.9$$

Do the multiplications in the fraction \frac{6\times 9}{5\times 10}.

$$\frac{54}{50}\times 0.9$$

Reduce the fraction \frac{54}{50} to lowest terms by extracting and canceling out 2.

$$\frac{27}{25}\times 0.9$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{27}{25}\times \frac{9}{10}$$

Multiply \frac{27}{25} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 9}{25\times 10}$$

Do the multiplications in the fraction \frac{27\times 9}{25\times 10}.

$$\frac{243}{250}$$

Factor

$$\frac{3 ^ {5}}{2 \cdot 5 ^ {3}} = 0.972$$