Which of the following is equivalent to (((a+6)/(c)))/(((2a+6)/(2c))) ? Choose 1 answer: (A) (c)/(2) (B) (a+6)/(a+3) (c) (a+6)/(2(a+3)) (D) 1

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Which of the following is equivalent to  (((a+6)/(c)))/(((2a+6)/(2c))) ? Choose 1 answer: (A)  (c)/(2) (B)  (a+6)/(a+3) (c)  (a+6)/(2(a+3)) (D) 1

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Write Expression: Write down the given expression and identify the structure. The given expression is a complex fraction, which means it is a fraction where the numerator and the denominator are themselves fractions. The expression is: (((a+6)/(c)))/(((2a+6)/(2c)))Identify Structure: Simplify the complex fraction by multiplying the numerator and the denominator by the reciprocal of the denominator. To simplify a complex fraction, we can multiply the numerator and the denominator by the reciprocal of the denominator of the complex fraction. Reciprocal of ((2a+6)/(2c)) is (2c)/(2a+6). So, we have: (((a+6)/(c)) * (2c)/(2a+6))Simplify by Multiplying: Perform the multiplication. Now, multiply the numerators together and the denominators together. ((a+6) * (2c)) / (c * (2a+6))Perform Multiplication: Simplify the expression by canceling out common factors. We can cancel out the 'c' from the numerator and the denominator. (2(a+6)) / (2a+6)Cancel Common Factors: Further simplify the expression. Since there is a common factor of 2 in the numerator, we can cancel it out with the 2 in the denominator. (a+6) / (a+3)Further Simplify: Match the simplified expression with the given options. The simplified expression (a+6) / (a+3) matches with option (B).

Which of the following is equivalent to $\frac{\left(\frac{a+6}{c}\right)}{\left(\frac{2 a+6}{2 c}\right)}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{c}{2}$ $\newline$ (B) $\frac{a+6}{a+3}$ $\newline$ (C) $\frac{a+6}{2(a+3)}$ $\newline$ (D) $1$

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