Solve (3/2)^2-11/5

$$( \frac { 3 } { 2 } ) ^ { 2 } - 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}-\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{9}{4}-\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{9}{4}-\frac{6}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{9}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{45}{20}-\frac{24}{20}$$

Since \frac{45}{20} and \frac{24}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-24}{20}$$

Subtract 24 from 45 to get 21.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$