Solve {540:[79-(5.7+34)]}:9+8

$$\{ 540 : [ 79 - ( 5.7 + 34 ) ] \} : 9 + 8$$

Evaluate

$$\frac{1248}{131}\approx 9.526717557$$

Solution Steps

Express \frac{\frac{540}{79-\left(5.7+34\right)}}{9} as a single fraction.

$$\frac{540}{\left(79-\left(5.7+34\right)\right)\times 9}+8$$

Add 5.7 and 34 to get 39.7.

$$\frac{540}{\left(79-39.7\right)\times 9}+8$$

Subtract 39.7 from 79 to get 39.3.

$$\frac{540}{39.3\times 9}+8$$

Multiply 39.3 and 9 to get 353.7.

$$\frac{540}{353.7}+8$$

Expand \frac{540}{353.7} by multiplying both numerator and the denominator by 10.

$$\frac{5400}{3537}+8$$

Reduce the fraction \frac{5400}{3537} to lowest terms by extracting and canceling out 27.

$$\frac{200}{131}+8$$

Convert 8 to fraction \frac{1048}{131}.

$$\frac{200}{131}+\frac{1048}{131}$$

Since \frac{200}{131} and \frac{1048}{131} have the same denominator, add them by adding their numerators.

$$\frac{200+1048}{131}$$

Add 200 and 1048 to get 1248.

$$\frac{1248}{131}$$

Factor

$$\frac{3 \cdot 13 \cdot 2 ^ {5}}{131} = 9\frac{69}{131} = 9.526717557251908$$