Solve 9*(-1/11)-73.1div11

$$9 \times ( - \frac { 1 } { 11 } ) - 73.1 \div 11$$

Evaluate

$$-\frac{821}{110}\approx -7.463636364$$

Solution Steps

Express 9\left(-\frac{1}{11}\right) as a single fraction.

$$\frac{9\left(-1\right)}{11}-\frac{73.1}{11}$$

Multiply 9 and -1 to get -9.

$$\frac{-9}{11}-\frac{73.1}{11}$$

Fraction \frac{-9}{11} can be rewritten as -\frac{9}{11} by extracting the negative sign.

$$-\frac{9}{11}-\frac{73.1}{11}$$

Expand \frac{73.1}{11} by multiplying both numerator and the denominator by 10.

$$-\frac{9}{11}-\frac{731}{110}$$

Least common multiple of 11 and 110 is 110. Convert -\frac{9}{11} and \frac{731}{110} to fractions with denominator 110.

$$-\frac{90}{110}-\frac{731}{110}$$

Since -\frac{90}{110} and \frac{731}{110} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-90-731}{110}$$

Subtract 731 from -90 to get -821.

$$-\frac{821}{110}$$

Factor

$$-\frac{821}{110} = -7\frac{51}{110} = -7.463636363636364$$