Solve 2/5^2+2.25-3/2

$$2 / 5 ^ { 2 } + 2.25 - \frac { 3 } { 2 }$$

Evaluate

$$0.91$$

Solution Steps

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{4}{25}+2.25-\frac{3}{2}$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{4}{25}+\frac{9}{4}-\frac{3}{2}$$

Least common multiple of 25 and 4 is 100. Convert \frac{4}{25} and \frac{9}{4} to fractions with denominator 100.

$$\frac{16}{100}+\frac{225}{100}-\frac{3}{2}$$

Since \frac{16}{100} and \frac{225}{100} have the same denominator, add them by adding their numerators.

$$\frac{16+225}{100}-\frac{3}{2}$$

Add 16 and 225 to get 241.

$$\frac{241}{100}-\frac{3}{2}$$

Least common multiple of 100 and 2 is 100. Convert \frac{241}{100} and \frac{3}{2} to fractions with denominator 100.

$$\frac{241}{100}-\frac{150}{100}$$

Since \frac{241}{100} and \frac{150}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{241-150}{100}$$

Subtract 150 from 241 to get 91.

$$\frac{91}{100}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 5 ^ {2}} = 0.91$$