Solve [8-(35-3):(-62)]5+4(-3)

$$[ 8 - ( 35 - 3 ) : ( - 62 ) ] 5 + 4 ( - 3 )$$

Evaluate

$$\frac{948}{31}\approx 30.580645161$$

Solution Steps

Subtract 3 from 35 to get 32.

$$\left(8-\frac{32}{-62}\right)\times 5+4\left(-3\right)$$

Reduce the fraction \frac{32}{-62} to lowest terms by extracting and canceling out 2.

$$\left(8-\left(-\frac{16}{31}\right)\right)\times 5+4\left(-3\right)$$

The opposite of -\frac{16}{31} is \frac{16}{31}.

$$\left(8+\frac{16}{31}\right)\times 5+4\left(-3\right)$$

Convert 8 to fraction \frac{248}{31}.

$$\left(\frac{248}{31}+\frac{16}{31}\right)\times 5+4\left(-3\right)$$

Since \frac{248}{31} and \frac{16}{31} have the same denominator, add them by adding their numerators.

$$\frac{248+16}{31}\times 5+4\left(-3\right)$$

Add 248 and 16 to get 264.

$$\frac{264}{31}\times 5+4\left(-3\right)$$

Express \frac{264}{31}\times 5 as a single fraction.

$$\frac{264\times 5}{31}+4\left(-3\right)$$

Multiply 264 and 5 to get 1320.

$$\frac{1320}{31}+4\left(-3\right)$$

Multiply 4 and -3 to get -12.

$$\frac{1320}{31}-12$$

Convert 12 to fraction \frac{372}{31}.

$$\frac{1320}{31}-\frac{372}{31}$$

Since \frac{1320}{31} and \frac{372}{31} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1320-372}{31}$$

Subtract 372 from 1320 to get 948.

$$\frac{948}{31}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 79}{31} = 30\frac{18}{31} = 30.580645161290324$$