Solve (7/6)((-3/5)-8/5)+1

$$( \frac { 7 } { 6 } ) ( ( - \frac { 3 } { 5 } ) - \frac { 8 } { 5 } ) + 1$$

Evaluate

$$-\frac{47}{30}\approx -1.566666667$$

Solution Steps

Since -\frac{3}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{6}\times \frac{-3-8}{5}+1$$

Subtract 8 from -3 to get -11.

$$\frac{7}{6}\left(-\frac{11}{5}\right)+1$$

Multiply \frac{7}{6} times -\frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-11\right)}{6\times 5}+1$$

Do the multiplications in the fraction \frac{7\left(-11\right)}{6\times 5}.

$$\frac{-77}{30}+1$$

Fraction \frac{-77}{30} can be rewritten as -\frac{77}{30} by extracting the negative sign.

$$-\frac{77}{30}+1$$

Convert 1 to fraction \frac{30}{30}.

$$-\frac{77}{30}+\frac{30}{30}$$

Since -\frac{77}{30} and \frac{30}{30} have the same denominator, add them by adding their numerators.

$$\frac{-77+30}{30}$$

Add -77 and 30 to get -47.

$$-\frac{47}{30}$$

Factor

$$-\frac{47}{30} = -1\frac{17}{30} = -1.5666666666666667$$