Solve -(9/12*7/5)-(4/5+8/2)

$$-( \frac{ 9 }{ 12 } \times \frac{ 7 }{ 5 } )-( \frac{ 4 }{ 5 } + \frac{ 8 }{ 2 } )$$

Evaluate

$$-\frac{117}{20}=-5.85$$

Solution Steps

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{4}\times \frac{7}{5}-\left(\frac{4}{5}+\frac{8}{2}\right)$$

Multiply \frac{3}{4} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{3\times 7}{4\times 5}-\left(\frac{4}{5}+\frac{8}{2}\right)$$

Do the multiplications in the fraction \frac{3\times 7}{4\times 5}.

$$-\frac{21}{20}-\left(\frac{4}{5}+\frac{8}{2}\right)$$

Divide 8 by 2 to get 4.

$$-\frac{21}{20}-\left(\frac{4}{5}+4\right)$$

Convert 4 to fraction \frac{20}{5}.

$$-\frac{21}{20}-\left(\frac{4}{5}+\frac{20}{5}\right)$$

Since \frac{4}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$-\frac{21}{20}-\frac{4+20}{5}$$

Add 4 and 20 to get 24.

$$-\frac{21}{20}-\frac{24}{5}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{21}{20} and \frac{24}{5} to fractions with denominator 20.

$$-\frac{21}{20}-\frac{96}{20}$$

Since -\frac{21}{20} and \frac{96}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-96}{20}$$

Subtract 96 from -21 to get -117.

$$-\frac{117}{20}$$

Factor

$$-\frac{117}{20} = -5\frac{17}{20} = -5.85$$