Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide (using Complex Fractions -

((((5)/(6)x+3)/((1)/(6)-y)))/((3x)/(4y))
Paragraph
B
I

Divide (using Complex Fractions - $\newline$ $\frac{\left(\frac{\frac{5}{6} x+3}{\frac{1}{6}-y}\right)}{\frac{3 x}{4 y}}$ $\newline$ Paragraph $\newline$ B $\newline$ I

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Divide (using Complex Fractions -

\newline

\frac{\left(\frac{\frac{5}{6} x+3}{\frac{1}{6}-y}\right)}{\frac{3 x}{4 y}}

\newline

Paragraph

\newline

B

\newline

I

Simplify Numerator and Denominator: Simplify the numerator and denominator separately before dividing. $\newline$ Numerator: $\frac{\frac{5}{6}x + 3}{\frac{1}{6} - y}$ $\newline$ Denominator: $\frac{3x}{4y}$
Combine Terms in Numerator: Combine the terms in the numerator by finding a common denominator. $\newline$ $\frac{5}{6}x + 3 = \frac{5}{6}x + \frac{18}{6} = \frac{5x + 18}{6}$
Rewrite as Single Fraction: Rewrite the numerator as a single fraction over the denominator. $\newline$ $\frac{\frac{5x + 18}{6}}{\frac{1}{6} - y}$
Multiply by Reciprocal: Multiply by the reciprocal of the denominator. $\newline$ $\frac{5x + 18}{6} \div (\frac{1}{6} - y) = \frac{5x + 18}{6} \times \frac{1}{\frac{1}{6} - y}$
Simplify Expression by Multiplying: Simplify the expression by multiplying. $\newline$ $\frac{5x + 18}{6} \times \frac{1}{\frac{1}{6} - y} = \frac{5x + 18}{6(\frac{1}{6} - y)}$
Divide by Denominator Fraction: Now divide by the denominator fraction $\frac{3x}{4y}$ . $\newline$ $\frac{\frac{5x + 18}{6(\frac{1}{6} - y)}}{\frac{3x}{4y}} = \frac{5x + 18}{6(\frac{1}{6} - y)} \times \frac{4y}{3x}$
Simplify Multiplication: Simplify the multiplication. $\newline$ $\frac{(5x + 18) \times 4y}{6(\frac{1}{6} - y) \times 3x} = \frac{20y(5x + 18)}{18x(\frac{1}{6} - y)}$

More problems from Multiplication with rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 3 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 3 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 2 months ago

Question

\newline

32^{(-1/5)}

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 3 months ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 2 months ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 2 months ago