Which of the following expressions is equivalent to (9n)/(45 n+9) ? Choose 1 answer: (A) (1)/(6) (B) (n)/(5n+1) (c) (n)/(5n+9) (D) (n)/(45 n+1)

Factor out the greatest common factor: Simplify the expression by factoring out the greatest common factor in the numerator and the denominator. The greatest common factor of 9n and 45n+9 is 9. So, we factor out 9 from the denominator. (9n)/(45n+9) = (9n)/(9(5n+1))Cancel out the common factor: Cancel out the common factor of 9 in the numerator and the denominator. (9n)/(9(5n+1)) = n/(5n+1)

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Which of the following expressions is equivalent to
(9n)/(45 n+9) ?
Choose 1 answer:
(A)
(1)/(6)
(B)
(n)/(5n+1)
(c)
(n)/(5n+9)
(D)
(n)/(45 n+1)

Which of the following expressions is equivalent to $\frac{9 n}{45 n+9}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{6}$ $\newline$ (B) $\frac{n}{5 n+1}$ $\newline$ (C) $\frac{n}{5 n+9}$ $\newline$ (D) $\frac{n}{45 n+1}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

\frac{9 n}{45 n+9}

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{6}

\newline

(B)

\frac{n}{5 n+1}

\newline

(C)

\frac{n}{5 n+9}

\newline

(D)

\frac{n}{45 n+1}

Factor out the greatest common factor: Simplify the expression by factoring out the greatest common factor in the numerator and the denominator. $\newline$ The greatest common factor of $9n$ and $45n+9$ is $9$ . $\newline$ So, we factor out $9$ from the denominator. $\newline$ $\frac{9n}{45n+9}$ = $\frac{9n}{9(5n+1)}$
Cancel out the common factor: Cancel out the common factor of $9$ in the numerator and the denominator. $\newline$ $\frac{9n}{9(5n+1)} = \frac{n}{5n+1}$