Which of the following expressions is equivalent to (72 n+8)/(40 n+72) ? Choose 1 answer: (A) (9n+8)/(5n+9) (B) (9n+1)/(5n+72) (C) (9n+1)/(40 n+72) (D) (9n+1)/(5n+9)

Factor GCD: Factor out the greatest common divisor (GCD) from the numerator and the denominator. The GCD of 72 and 8 is 8, and the GCD of 40 and 72 is 8 as well. So, we can factor out 8 from both the numerator and the denominator. (72n+8)/(40n+72) = 8(9n+1)/8(5n+9)Simplify Expression: Simplify the expression by canceling out the common factor. Since 8 is a common factor in both the numerator and the denominator, we can cancel it out. 8(9n+1)/8(5n+9) = (9n+1)/(5n+9)Compare with Options: Compare the simplified expression with the given options. The simplified expression (9n+1)/(5n+9) matches with option (D).

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Which of the following expressions is equivalent to
(72 n+8)/(40 n+72) ?
Choose 1 answer:
(A)
(9n+8)/(5n+9)
(B)
(9n+1)/(5n+72)
(C)
(9n+1)/(40 n+72)
(D)
(9n+1)/(5n+9)

Which of the following expressions is equivalent to $\frac{72 n+8}{40 n+72}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{9 n+8}{5 n+9}$ $\newline$ (B) $\frac{9 n+1}{5 n+72}$ $\newline$ (C) $\frac{9 n+1}{40 n+72}$ $\newline$ (D) $\frac{9 n+1}{5 n+9}$

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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{72 n+8}{40 n+72}

\newline

Choose

1

answer:

\newline

(A)

\frac{9 n+8}{5 n+9}

\newline

(B)

\frac{9 n+1}{5 n+72}

\newline

(C)

\frac{9 n+1}{40 n+72}

\newline

(D)

\frac{9 n+1}{5 n+9}

Factor GCD: Factor out the greatest common divisor (GCD) from the numerator and the denominator. $\newline$ The GCD of $72$ and $8$ is $8$ , and the GCD of $40$ and $72$ is $8$ as well. $\newline$ So, we can factor out $8$ from both the numerator and the denominator. $\newline$ $\frac{72n+8}{40n+72} = \frac{8(9n+1)}{8(5n+9)}$
Simplify Expression: Simplify the expression by canceling out the common factor. $\newline$ Since $8$ is a common factor in both the numerator and the denominator, we can cancel it out. $\newline$ $\frac{8(9n+1)}{8(5n+9)} = \frac{9n+1}{5n+9}$
Compare with Options: Compare the simplified expression with the given options. $\newline$ The simplified expression $(9n+1)/(5n+9)$ matches with option (D).