Solve 3/5*3/5*2*3/10*7/10+frac{3}{10}*frac{3}{10}*2*frac{3}{5}*frac{2}{5}

$$\frac { 3 } { 5 } \times \frac { 3 } { 5 } \times 2 \times \frac { 3 } { 10 } \times \frac { 7 } { 10 } + \frac { 3 } { 10 } \times \frac { 3 } { 10 } \times 2 \times \frac { 3 } { 5 } \times \frac { 2 } { 5 }$$

Evaluate

$$\frac{243}{1250}=0.1944$$

Solution Steps

Multiply \frac{3}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{5\times 5}\times 2\times \frac{3}{10}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{3\times 3}{5\times 5}.

$$\frac{9}{25}\times 2\times \frac{3}{10}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Express \frac{9}{25}\times 2 as a single fraction.

$$\frac{9\times 2}{25}\times \frac{3}{10}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Multiply 9 and 2 to get 18.

$$\frac{18}{25}\times \frac{3}{10}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Multiply \frac{18}{25} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 3}{25\times 10}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{18\times 3}{25\times 10}.

$$\frac{54}{250}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Reduce the fraction \frac{54}{250} to lowest terms by extracting and canceling out 2.

$$\frac{27}{125}\times \frac{7}{10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Multiply \frac{27}{125} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 7}{125\times 10}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{27\times 7}{125\times 10}.

$$\frac{189}{1250}+\frac{3}{10}\times \frac{3}{10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Multiply \frac{3}{10} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{189}{1250}+\frac{3\times 3}{10\times 10}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{3\times 3}{10\times 10}.

$$\frac{189}{1250}+\frac{9}{100}\times 2\times \frac{3}{5}\times \frac{2}{5}$$

Express \frac{9}{100}\times 2 as a single fraction.

$$\frac{189}{1250}+\frac{9\times 2}{100}\times \frac{3}{5}\times \frac{2}{5}$$

Multiply 9 and 2 to get 18.

$$\frac{189}{1250}+\frac{18}{100}\times \frac{3}{5}\times \frac{2}{5}$$

Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{189}{1250}+\frac{9}{50}\times \frac{3}{5}\times \frac{2}{5}$$

Multiply \frac{9}{50} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{189}{1250}+\frac{9\times 3}{50\times 5}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{9\times 3}{50\times 5}.

$$\frac{189}{1250}+\frac{27}{250}\times \frac{2}{5}$$

Multiply \frac{27}{250} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{189}{1250}+\frac{27\times 2}{250\times 5}$$

Do the multiplications in the fraction \frac{27\times 2}{250\times 5}.

$$\frac{189}{1250}+\frac{54}{1250}$$

Since \frac{189}{1250} and \frac{54}{1250} have the same denominator, add them by adding their numerators.

$$\frac{189+54}{1250}$$

Add 189 and 54 to get 243.

$$\frac{243}{1250}$$

Factor

$$\frac{3 ^ {5}}{2 \cdot 5 ^ {4}} = 0.1944$$