Solve (5+9/5)*12/5div2-9/5*12/5div2-1*frac{6}{5}div2

$$(5+ \frac{ 9 }{ 5 } ) \times \frac{ 12 }{ 5 } \div 2- \frac{ 9 }{ 5 } \times \frac{ 12 }{ 5 } \div 2-1 \times \frac{ 6 }{ 5 } \div 2$$

Evaluate

$$\frac{27}{5}=5.4$$

Solution Steps

Convert 5 to fraction \frac{25}{5}.

$$\frac{\left(\frac{25}{5}+\frac{9}{5}\right)\times \frac{12}{5}}{2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Since \frac{25}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{25+9}{5}\times \frac{12}{5}}{2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Add 25 and 9 to get 34.

$$\frac{\frac{34}{5}\times \frac{12}{5}}{2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Multiply \frac{34}{5} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{34\times 12}{5\times 5}}{2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Do the multiplications in the fraction \frac{34\times 12}{5\times 5}.

$$\frac{\frac{408}{25}}{2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Express \frac{\frac{408}{25}}{2} as a single fraction.

$$\frac{408}{25\times 2}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Multiply 25 and 2 to get 50.

$$\frac{408}{50}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Reduce the fraction \frac{408}{50} to lowest terms by extracting and canceling out 2.

$$\frac{204}{25}-\frac{\frac{9}{5}\times \frac{12}{5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Multiply \frac{9}{5} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{204}{25}-\frac{\frac{9\times 12}{5\times 5}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Do the multiplications in the fraction \frac{9\times 12}{5\times 5}.

$$\frac{204}{25}-\frac{\frac{108}{25}}{2}-\frac{1\times \frac{6}{5}}{2}$$

Express \frac{\frac{108}{25}}{2} as a single fraction.

$$\frac{204}{25}-\frac{108}{25\times 2}-\frac{1\times \frac{6}{5}}{2}$$

Multiply 25 and 2 to get 50.

$$\frac{204}{25}-\frac{108}{50}-\frac{1\times \frac{6}{5}}{2}$$

Reduce the fraction \frac{108}{50} to lowest terms by extracting and canceling out 2.

$$\frac{204}{25}-\frac{54}{25}-\frac{1\times \frac{6}{5}}{2}$$

Since \frac{204}{25} and \frac{54}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{204-54}{25}-\frac{1\times \frac{6}{5}}{2}$$

Subtract 54 from 204 to get 150.

$$\frac{150}{25}-\frac{1\times \frac{6}{5}}{2}$$

Divide 150 by 25 to get 6.

$$6-\frac{1\times \frac{6}{5}}{2}$$

Multiply 1 and \frac{6}{5} to get \frac{6}{5}.

$$6-\frac{\frac{6}{5}}{2}$$

Express \frac{\frac{6}{5}}{2} as a single fraction.

$$6-\frac{6}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$6-\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$6-\frac{3}{5}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{30}{5}-\frac{3}{5}$$

Since \frac{30}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-3}{5}$$

Subtract 3 from 30 to get 27.

$$\frac{27}{5}$$

Factor

$$\frac{3 ^ {3}}{5} = 5\frac{2}{5} = 5.4$$