Solve 8+6*9-613/3(35+7div6)

$$8 + 6 \times 9 - 613 / 3 ( 35 + 7 \div 6 )$$

Evaluate

$$-\frac{131905}{18}\approx -7328.055555556$$

Solution Steps

Multiply 6 and 9 to get 54.

$$8+54-\frac{613}{3}\left(35+\frac{7}{6}\right)$$

Add 8 and 54 to get 62.

$$62-\frac{613}{3}\left(35+\frac{7}{6}\right)$$

Convert 35 to fraction \frac{210}{6}.

$$62-\frac{613}{3}\left(\frac{210}{6}+\frac{7}{6}\right)$$

Since \frac{210}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$62-\frac{613}{3}\times \frac{210+7}{6}$$

Add 210 and 7 to get 217.

$$62-\frac{613}{3}\times \frac{217}{6}$$

Multiply \frac{613}{3} times \frac{217}{6} by multiplying numerator times numerator and denominator times denominator.

$$62-\frac{613\times 217}{3\times 6}$$

Do the multiplications in the fraction \frac{613\times 217}{3\times 6}.

$$62-\frac{133021}{18}$$

Convert 62 to fraction \frac{1116}{18}.

$$\frac{1116}{18}-\frac{133021}{18}$$

Since \frac{1116}{18} and \frac{133021}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1116-133021}{18}$$

Subtract 133021 from 1116 to get -131905.

$$-\frac{131905}{18}$$

Factor

$$-\frac{131905}{18} = -7328\frac{1}{18} = -7328.055555555556$$