Solve (25/100*25/100)+(15/100*15/100)

$$( \frac { 25 } { 100 } \times \frac { 25 } { 100 } ) + ( \frac { 15 } { 100 } \times \frac { 15 } { 100 } )$$

Evaluate

$$\frac{17}{200}=0.085$$

Solution Steps

Multiply \frac{25}{100} and \frac{25}{100} to get \left(\frac{25}{100}\right)^{2}.

$$\left(\frac{25}{100}\right)^{2}+\frac{15}{100}\times \frac{15}{100}$$

Multiply \frac{15}{100} and \frac{15}{100} to get \left(\frac{15}{100}\right)^{2}.

$$\left(\frac{25}{100}\right)^{2}+\left(\frac{15}{100}\right)^{2}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\left(\frac{1}{4}\right)^{2}+\left(\frac{15}{100}\right)^{2}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}+\left(\frac{15}{100}\right)^{2}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{16}+\left(\frac{3}{20}\right)^{2}$$

Calculate \frac{3}{20} to the power of 2 and get \frac{9}{400}.

$$\frac{1}{16}+\frac{9}{400}$$

Least common multiple of 16 and 400 is 400. Convert \frac{1}{16} and \frac{9}{400} to fractions with denominator 400.

$$\frac{25}{400}+\frac{9}{400}$$

Since \frac{25}{400} and \frac{9}{400} have the same denominator, add them by adding their numerators.

$$\frac{25+9}{400}$$

Add 25 and 9 to get 34.

$$\frac{34}{400}$$

Reduce the fraction \frac{34}{400} to lowest terms by extracting and canceling out 2.

$$\frac{17}{200}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 5 ^ {2}} = 0.085$$