Solve 2.3div10/9div0.81

$$2.3 \div \frac { 10 } { 9 } \div 0.81$$

Evaluate

$$\frac{23}{9}\approx 2.555555556$$

Solution Steps

Express \frac{\frac{2.3}{\frac{10}{9}}}{0.81} as a single fraction.

$$\frac{2.3}{\frac{10}{9}\times 0.81}$$

Convert decimal number 0.81 to fraction \frac{81}{100}.

$$\frac{2.3}{\frac{10}{9}\times \frac{81}{100}}$$

Multiply \frac{10}{9} times \frac{81}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2.3}{\frac{10\times 81}{9\times 100}}$$

Do the multiplications in the fraction \frac{10\times 81}{9\times 100}.

$$\frac{2.3}{\frac{810}{900}}$$

Reduce the fraction \frac{810}{900} to lowest terms by extracting and canceling out 90.

$$\frac{2.3}{\frac{9}{10}}$$

Divide 2.3 by \frac{9}{10} by multiplying 2.3 by the reciprocal of \frac{9}{10}.

$$2.3\times \frac{10}{9}$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$\frac{23}{10}\times \frac{10}{9}$$

Multiply \frac{23}{10} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 10}{10\times 9}$$

Cancel out 10 in both numerator and denominator.

$$\frac{23}{9}$$

Factor

$$\frac{23}{3 ^ {2}} = 2\frac{5}{9} = 2.5555555555555554$$