Question

Multiply$\frac{11}{3}\left(-9a\right)$.

Short answer

$-33a$

Step-by-step solution

Step 1. Given Information

The given expression is$\frac{11}{3}\left(-9a\right)$.

Step 2. Check whether the sign of the product of the given numbers is negative or positive.

Since the sign of $\frac{11}{3}$ is positive and the sign of 9ais negative which means the product will be a negative number since the product is negative of the number with different signs.

$\frac{11}{3}\left(-9a\right)=-\frac{11}{3}\left(9a\right)$

Step 3. Rewrite the given expression.

Since 9ais not in the fraction form, write it as a fraction form by taking 1 as a denominator.

$-\frac{11}{3}\left(9a\right)=-\frac{11}{3}\left(\frac{9a}{1}\right)$

Step 4. Multiply and factor the number 9.

• Multiply both numerators together and both denominators together.

$-\frac{11}{3}\left(\frac{9a}{1}\right)=-\frac{11·9a}{3·1}$

• Factor the number 9 so that the common factors can be easily divided out.
• Simplify.

$\begin{array}{rcl}-\frac{11·9a}{3·1}& =& -\frac{11·\cancel{3}·3·a}{\cancel{3}·1}\\ & =& -\frac{11·3·a}{1}\\ & =& -33a\end{array}$

Conclusion

The obtained value is$-33a$.