Multiply. Simplify your answer. 4r/16qr * 18q^2/11qr ______

Write Original Problem: Write down the original multiplication problem. We have the expression 4r/16qr * 18q^2/11qr. We need to multiply these two fractions.Factor Out Common Factors: Factor out common factors in the numerators and denominators. The numerators are 4r and 18q^2, and the denominators are 16qr and 11qr. We can simplify 4r/16qr by dividing both the numerator and the denominator by 4r, which gives us 1/4q. Similarly, we can simplify 18q^2/11qr by dividing both the numerator and the denominator by q, which gives us 18q/11r.Multiply Simplified Fractions: Multiply the simplified fractions. Now we multiply 1/4q by 18q/11r. When multiplying fractions, we multiply the numerators together and the denominators together. So, (1 * 18q) / (4q * 11r) = 18q / 44qr.Simplify Resulting Fraction: Simplify the resulting fraction. We can simplify 18q / 44qr by dividing both the numerator and the denominator by q, which gives us 18 / 44r. We can further simplify by dividing both the numerator and the denominator by 2, which gives us 9 / 22r.

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{4r}{16qr} \times \frac{18q^2}{11qr}

Write Original Problem: Write down the original multiplication problem. $\newline$ We have the expression $\frac{4r}{16qr} \times \frac{18q^2}{11qr}$ . We need to multiply these two fractions.
Factor Out Common Factors: Factor out common factors in the numerators and denominators. $\newline$ The numerators are $4r$ and $18q^2$ , and the denominators are $16qr$ and $11qr$ . We can simplify $\frac{4r}{16qr}$ by dividing both the numerator and the denominator by $4r$ , which gives us $\frac{1}{4q}$ . Similarly, we can simplify $\frac{18q^2}{11qr}$ by dividing both the numerator and the denominator by $q$ , which gives us $\frac{18q}{11r}$ .
Multiply Simplified Fractions: Multiply the simplified fractions. $\newline$ Now we multiply $\frac{1}{4q}$ by $\frac{18q}{11r}$ . When multiplying fractions, we multiply the numerators together and the denominators together. $\newline$ So, $\left(\frac{1 \times 18q}{4q \times 11r}\right) = \frac{18q}{44qr}$ .
Simplify Resulting Fraction: Simplify the resulting fraction. $\newline$ We can simplify $\frac{18q}{44qr}$ by dividing both the numerator and the denominator by $q$ , which gives us $\frac{18}{44r}$ . We can further simplify by dividing both the numerator and the denominator by $2$ , which gives us $\frac{9}{22r}$ .