Which of the following expressions is equivalent to (-55 r+77)/(-88 r-44) ? Choose 1 answer: (A) (-5r-7)/(-8r-4) (B) (-5r+77)/(-8r-44) (C) (-5r+7)/(-8r-4) (D) (-5r+7)/(8r+4)

Simplify numerator and denominator: Simplify the numerator and the denominator by finding a common factor. The common factor for the numerator (-55r + 77) is 11, and for the denominator (-88r - 44) is 44.Divide by common factors: Divide both the numerator and the denominator by their respective common factors. For the numerator: (-55r + 77) / 11 = -5r + 7 For the denominator: (-88r - 44) / 44 = -2r - 1 However, we need to divide the entire denominator by -44 to maintain the equivalence, which will change the signs. (-88r - 44) / -44 = 2r + 1Write simplified expression: Write the simplified expression. The simplified expression is (-5r + 7) / (2r + 1). However, this is not one of the options provided, indicating a potential error in the previous step.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which of the following expressions is equivalent to
(-55 r+77)/(-88 r-44) ?
Choose 1 answer:
(A)
(-5r-7)/(-8r-4)
(B)
(-5r+77)/(-8r-44)
(C)
(-5r+7)/(-8r-4)
(D)
(-5r+7)/(8r+4)

Which of the following expressions is equivalent to $\frac{-55 r+77}{-88 r-44}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{-5 r-7}{-8 r-4}$ $\newline$ (B) $\frac{-5 r+77}{-8 r-44}$ $\newline$ (C) $\frac{-5 r+7}{-8 r-4}$ $\newline$ (D) $\frac{-5 r+7}{8 r+4}$

View step-by-step help

Home

Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

\frac{-55 r+77}{-88 r-44}

\newline

Choose

1

answer:

\newline

(A)

\frac{-5 r-7}{-8 r-4}

\newline

(B)

\frac{-5 r+77}{-8 r-44}

\newline

(C)

\frac{-5 r+7}{-8 r-4}

\newline

(D)

\frac{-5 r+7}{8 r+4}

Simplify numerator and denominator: Simplify the numerator and the denominator by finding a common factor. $\newline$ The common factor for the numerator $(-55r + 77)$ is $11$ , and for the denominator $(-88r - 44)$ is $44$ .
Divide by common factors: Divide both the numerator and the denominator by their respective common factors. $\newline$ For the numerator: $\frac{(-55r + 77)}{11} = -5r + 7$ $\newline$ For the denominator: $\frac{(-88r - 44)}{44} = -2r - 1$ $\newline$ However, we need to divide the entire denominator by $-44$ to maintain the equivalence, which will change the signs. $\newline$ $\frac{(-88r - 44)}{-44} = 2r + 1$
Write simplified expression: Write the simplified expression. $\newline$ The simplified expression is $(-5r + 7) / (2r + 1)$ . $\newline$ However, this is not one of the options provided, indicating a potential error in the previous step.