Solve 3*3/10*2/102/10+3*3/10*frac{2}{10}*frac{5}{10}=

$$3 \cdot \frac { 3 } { 10 } \cdot \frac { 2 } { 10 } \frac { 2 } { 10 } + 3 \cdot \frac { 3 } { 10 } \cdot \frac { 2 } { 10 } \cdot \frac { 5 } { 10 } =$$

Evaluate

$$\frac{63}{500}=0.126$$

Solution Steps

Multiply \frac{2}{10} and \frac{2}{10} to get \left(\frac{2}{10}\right)^{2}.

$$3\times \frac{3}{10}\times \left(\frac{2}{10}\right)^{2}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Express 3\times \frac{3}{10} as a single fraction.

$$\frac{3\times 3}{10}\times \left(\frac{2}{10}\right)^{2}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{10}\times \left(\frac{2}{10}\right)^{2}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}\times \left(\frac{1}{5}\right)^{2}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Calculate \frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$\frac{9}{10}\times \frac{1}{25}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Multiply \frac{9}{10} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{10\times 25}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 25}.

$$\frac{9}{250}+3\times \frac{3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Express 3\times \frac{3}{10} as a single fraction.

$$\frac{9}{250}+\frac{3\times 3}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{250}+\frac{9}{10}\times \frac{2}{10}\times \frac{5}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{250}+\frac{9}{10}\times \frac{1}{5}\times \frac{5}{10}$$

Multiply \frac{9}{10} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{250}+\frac{9\times 1}{10\times 5}\times \frac{5}{10}$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 5}.

$$\frac{9}{250}+\frac{9}{50}\times \frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{250}+\frac{9}{50}\times \frac{1}{2}$$

Multiply \frac{9}{50} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{250}+\frac{9\times 1}{50\times 2}$$

Do the multiplications in the fraction \frac{9\times 1}{50\times 2}.

$$\frac{9}{250}+\frac{9}{100}$$

Least common multiple of 250 and 100 is 500. Convert \frac{9}{250} and \frac{9}{100} to fractions with denominator 500.

$$\frac{18}{500}+\frac{45}{500}$$

Since \frac{18}{500} and \frac{45}{500} have the same denominator, add them by adding their numerators.

$$\frac{18+45}{500}$$

Add 18 and 45 to get 63.

$$\frac{63}{500}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {2} \cdot 5 ^ {3}} = 0.126$$