Solve 764--32+(1.470+5):-(20+5)

$$764 - - 32 + ( 1.470 + 5 ) : - ( 20 + 5 )$$

Evaluate

$$795.7412$$

Solution Steps

The opposite of -32 is 32.

$$764+32+\frac{1.47+5}{-\left(20+5\right)}$$

Add 764 and 32 to get 796.

$$796+\frac{1.47+5}{-\left(20+5\right)}$$

Add 1.47 and 5 to get 6.47.

$$796+\frac{6.47}{-\left(20+5\right)}$$

Add 20 and 5 to get 25.

$$796+\frac{6.47}{-25}$$

Expand \frac{6.47}{-25} by multiplying both numerator and the denominator by 100.

$$796+\frac{647}{-2500}$$

Fraction \frac{647}{-2500} can be rewritten as -\frac{647}{2500} by extracting the negative sign.

$$796-\frac{647}{2500}$$

Convert 796 to fraction \frac{1990000}{2500}.

$$\frac{1990000}{2500}-\frac{647}{2500}$$

Since \frac{1990000}{2500} and \frac{647}{2500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1990000-647}{2500}$$

Subtract 647 from 1990000 to get 1989353.

$$\frac{1989353}{2500}$$

Factor

$$\frac{1989353}{2 ^ {2} \cdot 5 ^ {4}} = 795\frac{1853}{2500} = 795.7412$$