Solve 8/9*(-35/16)-45/6*(-7/58)=

$$\frac{ 8 }{ 9 } \times (-3 \frac{ 5 }{ 16 } )-4 \frac{ 5 }{ 6 } \times (- \frac{ 7 }{ 58 } )=$$

Evaluate

$$-\frac{85}{36}\approx -2.361111111$$

Solution Steps

Multiply 3 and 16 to get 48.

$$\frac{8}{9}\left(-\frac{48+5}{16}\right)-\frac{4\times 6+5}{6}\left(-\frac{7}{58}\right)$$

Add 48 and 5 to get 53.

$$\frac{8}{9}\left(-\frac{53}{16}\right)-\frac{4\times 6+5}{6}\left(-\frac{7}{58}\right)$$

Multiply \frac{8}{9} times -\frac{53}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-53\right)}{9\times 16}-\frac{4\times 6+5}{6}\left(-\frac{7}{58}\right)$$

Do the multiplications in the fraction \frac{8\left(-53\right)}{9\times 16}.

$$\frac{-424}{144}-\frac{4\times 6+5}{6}\left(-\frac{7}{58}\right)$$

Reduce the fraction \frac{-424}{144} to lowest terms by extracting and canceling out 8.

$$-\frac{53}{18}-\frac{4\times 6+5}{6}\left(-\frac{7}{58}\right)$$

Multiply 4 and 6 to get 24.

$$-\frac{53}{18}-\frac{24+5}{6}\left(-\frac{7}{58}\right)$$

Add 24 and 5 to get 29.

$$-\frac{53}{18}-\frac{29}{6}\left(-\frac{7}{58}\right)$$

Multiply \frac{29}{6} times -\frac{7}{58} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{53}{18}-\frac{29\left(-7\right)}{6\times 58}$$

Do the multiplications in the fraction \frac{29\left(-7\right)}{6\times 58}.

$$-\frac{53}{18}-\frac{-203}{348}$$

Reduce the fraction \frac{-203}{348} to lowest terms by extracting and canceling out 29.

$$-\frac{53}{18}-\left(-\frac{7}{12}\right)$$

The opposite of -\frac{7}{12} is \frac{7}{12}.

$$-\frac{53}{18}+\frac{7}{12}$$

Least common multiple of 18 and 12 is 36. Convert -\frac{53}{18} and \frac{7}{12} to fractions with denominator 36.

$$-\frac{106}{36}+\frac{21}{36}$$

Since -\frac{106}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.

$$\frac{-106+21}{36}$$

Add -106 and 21 to get -85.

$$-\frac{85}{36}$$

Factor

$$-\frac{85}{36} = -2\frac{13}{36} = -2.361111111111111$$