Multiply. Simplify your answer. 9p^2/4p * 13n ______

Rewrite fractions for multiplication: Rewrite the multiplication of the two fractions. The expression 9p^2/4p * 13n can be written as (9p^2/4p) * (13n/1) to make it clear that we are multiplying two fractions.Multiply numerators and denominators: Multiply the numerators together and the denominators together. The numerator of the first fraction is 9p^2 and the numerator of the second fraction is 13n, so their product is 9p^2 * 13n. The denominator of the first fraction is 4p and the denominator of the second fraction is 1, so their product is 4p * 1.Calculate products: Calculate the products. Multiplying the numerators, we get 9p^2 * 13n = 117np^2. Multiplying the denominators, we get 4p * 1 = 4p.Combine products into new fraction: Combine the products to form a new fraction. The new fraction is 117np^2/4p.Simplify fraction: Simplify the fraction by canceling common factors. The term p appears in both the numerator and the denominator, so we can cancel one p from the numerator and one p from the denominator. This gives us 117n/4.

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Math Problems

Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{9p^2}{4p} \times 13n

Rewrite fractions for multiplication: Rewrite the multiplication of the two fractions. The expression $\frac{9p^2}{4p} \times 13n$ can be written as $\left(\frac{9p^2}{4p}\right) \times \left(\frac{13n}{1}\right)$ to make it clear that we are multiplying two fractions.
Multiply numerators and denominators: Multiply the numerators together and the denominators together. The numerator of the first fraction is $9p^2$ and the numerator of the second fraction is $13n$ , so their product is $9p^2 \times 13n$ . The denominator of the first fraction is $4p$ and the denominator of the second fraction is $1$ , so their product is $4p \times 1$ .
Calculate products: Calculate the products. Multiplying the numerators, we get $9p^2 \times 13n = 117np^2$ . Multiplying the denominators, we get $4p \times 1 = 4p$ .
Combine products into new fraction: Combine the products to form a new fraction. The new fraction is $\frac{117np^2}{4p}$ .
Simplify fraction: Simplify the fraction by canceling common factors. The term $p$ appears in both the numerator and the denominator, so we can cancel one $p$ from the numerator and one $p$ from the denominator. This gives us $\frac{117n}{4}$ .