Solve [8-(3.5-3):(-6.2)].5+4.(-3)

$$[ 8 - ( 3.5 - 3 ) : ( - 6.2 ) ] .5 + 4 . ( - 3 )$$

Evaluate

$$\frac{997}{124}\approx 8.040322581$$

Solution Steps

Subtract 3 from 3.5 to get 0.5.

$$\left(8-\frac{0.5}{-6.2}\right)\times 0.5+4$$

Expand \frac{0.5}{-6.2} by multiplying both numerator and the denominator by 10.

$$\left(8-\frac{5}{-62}\right)\times 0.5+4$$

Fraction \frac{5}{-62} can be rewritten as -\frac{5}{62} by extracting the negative sign.

$$\left(8-\left(-\frac{5}{62}\right)\right)\times 0.5+4$$

The opposite of -\frac{5}{62} is \frac{5}{62}.

$$\left(8+\frac{5}{62}\right)\times 0.5+4$$

Convert 8 to fraction \frac{496}{62}.

$$\left(\frac{496}{62}+\frac{5}{62}\right)\times 0.5+4$$

Since \frac{496}{62} and \frac{5}{62} have the same denominator, add them by adding their numerators.

$$\frac{496+5}{62}\times 0.5+4$$

Add 496 and 5 to get 501.

$$\frac{501}{62}\times 0.5+4$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{501}{62}\times \frac{1}{2}+4$$

Multiply \frac{501}{62} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{501\times 1}{62\times 2}+4$$

Do the multiplications in the fraction \frac{501\times 1}{62\times 2}.

$$\frac{501}{124}+4$$

Convert 4 to fraction \frac{496}{124}.

$$\frac{501}{124}+\frac{496}{124}$$

Since \frac{501}{124} and \frac{496}{124} have the same denominator, add them by adding their numerators.

$$\frac{501+496}{124}$$

Add 501 and 496 to get 997.

$$\frac{997}{124}$$

Factor

$$\frac{997}{31 \cdot 2 ^ {2}} = 8\frac{5}{124} = 8.040322580645162$$