Solve 1.1=0.89/0.9^2

$$1.1= \frac{ 0.89 }{ { 0.9 }^{ 2 } }$$

Verify

Solution Steps

Calculate 0.9 to the power of 2 and get 0.81.

$$1.1=\frac{0.89}{0.81}$$

Expand \frac{0.89}{0.81} by multiplying both numerator and the denominator by 100.

$$1.1=\frac{89}{81}$$

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

$$\frac{11}{10}=\frac{89}{81}$$

Least common multiple of 10 and 81 is 810. Convert \frac{11}{10} and \frac{89}{81} to fractions with denominator 810.

$$\frac{891}{810}=\frac{890}{810}$$

Compare \frac{891}{810} and \frac{890}{810}.

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