Solve 7/5quad-45/11-6/5

$$\frac { 7 } { 5 } \quad \frac { - 45 } { 11 } - \frac { 6 } { 5 }$$

Evaluate

$$-\frac{381}{55}\approx -6.927272727$$

Solution Steps

Fraction \frac{-45}{11} can be rewritten as -\frac{45}{11} by extracting the negative sign.

$$\frac{7}{5}\left(-\frac{45}{11}\right)-\frac{6}{5}$$

Multiply \frac{7}{5} times -\frac{45}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-45\right)}{5\times 11}-\frac{6}{5}$$

Do the multiplications in the fraction \frac{7\left(-45\right)}{5\times 11}.

$$\frac{-315}{55}-\frac{6}{5}$$

Reduce the fraction \frac{-315}{55} to lowest terms by extracting and canceling out 5.

$$-\frac{63}{11}-\frac{6}{5}$$

Least common multiple of 11 and 5 is 55. Convert -\frac{63}{11} and \frac{6}{5} to fractions with denominator 55.

$$-\frac{315}{55}-\frac{66}{55}$$

Since -\frac{315}{55} and \frac{66}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-315-66}{55}$$

Subtract 66 from -315 to get -381.

$$-\frac{381}{55}$$

Factor

$$-\frac{381}{55} = -6\frac{51}{55} = -6.927272727272728$$