Solve 1.1=0.891/0.9^2

$$1.1 = \frac{ 0.891 }{ { 0.9 }^{ 2 } }$$

Verify

Solution Steps

Calculate 0.9 to the power of 2 and get 0.81.

$$1.1=\frac{0.891}{0.81}$$

Expand \frac{0.891}{0.81} by multiplying both numerator and the denominator by 1000.

$$1.1=\frac{891}{810}$$

Reduce the fraction \frac{891}{810} to lowest terms by extracting and canceling out 81.

$$1.1=\frac{11}{10}$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$\frac{11}{10}=\frac{11}{10}$$

Compare \frac{11}{10} and \frac{11}{10}.

$$\text{true}$$