Question

What is the quotient? StartFraction 3 y 2 Over 3 y EndFraction divided by StartFraction 6 y squared 4 y Over 3 y 2 EndFraction StartFraction 1 Over 2 y EnDfraction StartFraction 3 y 2 Over 6 y squared EndFraction StartFraction 1 Over y EndFraction StartFraction 2 (3 y 2) Over 3 EndFraction.

Answer 1

The quotient of the expression is $\frac{1}{2y}$

The expression is given as:

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}$

Divide 3y^2 by 3y

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}$

Rewrite the equation as a product

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}$

Divide 6 by 3

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}$

Multiply y and y^2

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}$

Divide y^3 by y^4

$\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}$

Hence, the quotient of the expression is $\frac{1}{2y}$

Read more about quotients at:

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