Solve (304/5+27,4)*0,9/(31,64-12frac{6{25})*1,2}

$$\frac { ( 30 \frac { 4 } { 5 } + 27,4 ) \cdot 0,9 } { ( 31,64 - 12 \frac { 6 } { 25 } ) \cdot 1,2 }$$

Evaluate

$$2,25$$

Solution Steps

Multiply 30 and 5 to get 150.

$$\frac{\left(\frac{150+4}{5}+27,4\right)\times 0,9}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Add 150 and 4 to get 154.

$$\frac{\left(\frac{154}{5}+27,4\right)\times 0,9}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Convert decimal number 27,4 to fraction \frac{274}{10}. Reduce the fraction \frac{274}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\left(\frac{154}{5}+\frac{137}{5}\right)\times 0,9}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Since \frac{154}{5} and \frac{137}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{154+137}{5}\times 0,9}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Add 154 and 137 to get 291.

$$\frac{\frac{291}{5}\times 0,9}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Convert decimal number 0,9 to fraction \frac{9}{10}.

$$\frac{\frac{291}{5}\times \frac{9}{10}}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Multiply \frac{291}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{291\times 9}{5\times 10}}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Do the multiplications in the fraction \frac{291\times 9}{5\times 10}.

$$\frac{\frac{2619}{50}}{\left(31,64-\frac{12\times 25+6}{25}\right)\times 1,2}$$

Multiply 12 and 25 to get 300.

$$\frac{\frac{2619}{50}}{\left(31,64-\frac{300+6}{25}\right)\times 1,2}$$

Add 300 and 6 to get 306.

$$\frac{\frac{2619}{50}}{\left(31,64-\frac{306}{25}\right)\times 1,2}$$

Convert decimal number 31,64 to fraction \frac{3164}{100}. Reduce the fraction \frac{3164}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{2619}{50}}{\left(\frac{791}{25}-\frac{306}{25}\right)\times 1,2}$$

Since \frac{791}{25} and \frac{306}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2619}{50}}{\frac{791-306}{25}\times 1,2}$$

Subtract 306 from 791 to get 485.

$$\frac{\frac{2619}{50}}{\frac{485}{25}\times 1,2}$$

Reduce the fraction \frac{485}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{2619}{50}}{\frac{97}{5}\times 1,2}$$

Convert decimal number 1,2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2619}{50}}{\frac{97}{5}\times \frac{6}{5}}$$

Multiply \frac{97}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2619}{50}}{\frac{97\times 6}{5\times 5}}$$

Do the multiplications in the fraction \frac{97\times 6}{5\times 5}.

$$\frac{\frac{2619}{50}}{\frac{582}{25}}$$

Divide \frac{2619}{50} by \frac{582}{25} by multiplying \frac{2619}{50} by the reciprocal of \frac{582}{25}.

$$\frac{2619}{50}\times \frac{25}{582}$$

Multiply \frac{2619}{50} times \frac{25}{582} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2619\times 25}{50\times 582}$$

Do the multiplications in the fraction \frac{2619\times 25}{50\times 582}.

$$\frac{65475}{29100}$$

Reduce the fraction \frac{65475}{29100} to lowest terms by extracting and canceling out 7275.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$