Solve {left(10/9right)}^2-22/9

$${ \left( \frac{ 10 }{ 9 } \right) }^{ 2 } - \frac{ 22 }{ 9 }$$

Evaluate

$$-\frac{98}{81}\approx -1.209876543$$

Solution Steps

Calculate \frac{10}{9} to the power of 2 and get \frac{100}{81}.

$$\frac{100}{81}-\frac{22}{9}$$

Least common multiple of 81 and 9 is 81. Convert \frac{100}{81} and \frac{22}{9} to fractions with denominator 81.

$$\frac{100}{81}-\frac{198}{81}$$

Since \frac{100}{81} and \frac{198}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-198}{81}$$

Subtract 198 from 100 to get -98.

$$-\frac{98}{81}$$

Factor

$$-\frac{98}{81} = -1\frac{17}{81} = -1.2098765432098766$$