Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Simplify the following fraction: (66)/(90) Answer:$

Simplify the following fraction: $\frac{66}{90}$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Evaluate rational exponents

Full solution

Q. Simplify the following fraction:

\frac{66}{90}

\newline

Answer:

Identify GCD: Identify the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ The numerator is $66$ and the denominator is $90$ . We need to find the largest number that divides both $66$ and $90$ without leaving a remainder. $\newline$ The factors of $66$ are $1$ , $2$ , $3$ , $6$ , $11$ , $90$ $0$ , $90$ $1$ , $66$ . $\newline$ The factors of $90$ are $1$ , $2$ , $3$ , $90$ $7$ , $6$ , $90$ $9$ , $66$ $0$ , $66$ $1$ , $66$ $2$ , $66$ $3$ , $66$ $4$ , $90$ . $\newline$ The common factors are $1$ , $2$ , $3$ , $6$ . $\newline$ The greatest common factor is $6$ .
Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\newline$ Divide $66$ by $6$ to get $11$ . $\newline$ Divide $90$ by $6$ to get $15$ . $\newline$ So, $(66)/(90)$ simplifies to $(11)/(15)$ .
Check for Further Simplification: Check if the fraction can be simplified further. The numerator is $11$ and the denominator is $15$ . Since $11$ is a prime number, it has no other factors besides $1$ and itself. Therefore, the fraction $\frac{11}{15}$ cannot be simplified further.

More problems from Evaluate rational exponents

Question

\newline

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

\newline

Posted 9 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 9 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 5 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 5 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 5 months ago

Question

\newline

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

\newline

Posted 5 months ago

Question

\newline

32^{(-1/5)}

Posted 7 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 9 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 8 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 7 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant