Perform the operation and simplify the answer fully. (9x^(2))/(4)*(3)/(7x) Answer:

Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. We have two fractions that we are multiplying together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. (9x^(2))/(4) * (3)/(7x) = (9x^(2) * 3) / (4 * 7x)Simplify Multiplication: Simplify the multiplication of the numerators and denominators. Now we multiply the numbers and the variables separately. (9x^(2) * 3) / (4 * 7x) = (27x^(2)) / (28x)Reduce Fraction by Canceling: Reduce the fraction by canceling out common factors. We can simplify the fraction by canceling out the common x from the numerator and the denominator. (27x^(2)) / (28x) = (27x^(2)/x) / (28)Simplify Expression: Simplify the expression after canceling out the common factor. After canceling out the common x, we simplify the expression. (27x^(2)/x) / (28) = (27x) / (28)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Perform the operation and simplify the answer fully.

(9x^(2))/(4)*(3)/(7x)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{9 x^{2}}{4} \cdot \frac{3}{7 x}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{9 x^{2}}{4} \cdot \frac{3}{7 x}

\newline

Answer:

Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. $\newline$ We have two fractions that we are multiplying together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ $(\frac{9x^{2}}{4}) \times (\frac{3}{7x}) = \frac{9x^{2} \times 3}{4 \times 7x}$
Simplify Multiplication: Simplify the multiplication of the numerators and denominators. $\newline$ Now we multiply the numbers and the variables separately. $\newline$ $(9x^{2} \times 3) / (4 \times 7x) = (27x^{2}) / (28x)$
Reduce Fraction by Canceling: Reduce the fraction by canceling out common factors. $\newline$ We can simplify the fraction by canceling out the common $x$ from the numerator and the denominator. $\newline$ $(27x^{2}) / (28x) = (27x^{2}/x) / (28)$
Simplify Expression: Simplify the expression after canceling out the common factor. $\newline$ After canceling out the common $x$ , we simplify the expression. $\newline$ $(27x^{2}/x) / (28) = (27x) / (28)$