(((a)/(b)))/(c)+(d)/(((e)/(f))) Which of the following is equivalent to the expression above? Choose 1 answer: (A) (a)/(bc)+(df)/(e) (B) (a)/(bc)+(de)/(f) (C) (bc)/(a)+(df)/(e) (D) (bc)/(a)+(de)/(f)

Simplify first term: We have the expression: (((a)/(b)))/(c) + (d)/(((e)/(f))). To simplify the first term, we can multiply the numerator and the denominator by c to get rid of the complex fraction: (a/bc).Simplify second term: For the second term, we can multiply the numerator and the denominator by f to get rid of the complex fraction: (df/e).Combine simplified terms: Now, we combine the simplified terms to get the equivalent expression: (a)/(bc) + (df)/(e).Compare with given choices: We compare the simplified expression with the given choices: (A) (a)/(bc)+(df)/(e) matches our simplified expression. (B) (a)/(bc)+(de)/(f) does not match because the second term is incorrect. (C) (bc)/(a)+(df)/(e) does not match because the first term is inverted. (D) (bc)/(a)+(de)/(f) does not match because both terms are incorrect.

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(((a)/(b)))/(c)+(d)/(((e)/(f)))
Which of the following is equivalent to the expression above?
Choose 1 answer:
(A)
(a)/(bc)+(df)/(e)
(B)
(a)/(bc)+(de)/(f)
(C)
(bc)/(a)+(df)/(e)
(D)
(bc)/(a)+(de)/(f)

$\frac{\left(\frac{a}{b}\right)}{c}+\frac{d}{\left(\frac{e}{f}\right)}$ $\newline$ Which of the following is equivalent to the expression above? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{a}{b c}+\frac{d f}{e}$ $\newline$ (B) $\frac{a}{b c}+\frac{d e}{f}$ $\newline$ (C) $\frac{b c}{a}+\frac{d f}{e}$ $\newline$ (D) $\frac{b c}{a}+\frac{d e}{f}$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

\frac{\left(\frac{a}{b}\right)}{c}+\frac{d}{\left(\frac{e}{f}\right)}

\newline

Which of the following is equivalent to the expression above?

\newline

Choose

1

answer:

\newline

(A)

\frac{a}{b c}+\frac{d f}{e}

\newline

(B)

\frac{a}{b c}+\frac{d e}{f}

\newline

(C)

\frac{b c}{a}+\frac{d f}{e}

\newline

(D)

\frac{b c}{a}+\frac{d e}{f}

Simplify first term: We have the expression: $\left(\frac{a}{b}\right)/c + \frac{d}{\left(\frac{e}{f}\right)}$ . To simplify the first term, we can multiply the numerator and the denominator by $c$ to get rid of the complex fraction: $\frac{a}{bc}$ .
Simplify second term: For the second term, we can multiply the numerator and the denominator by $f$ to get rid of the complex fraction: $(\frac{df}{e})$ .
Combine simplified terms: Now, we combine the simplified terms to get the equivalent expression: $(\frac{a}{bc}) + (\frac{df}{e})$ .
Compare with given choices: We compare the simplified expression with the given choices: $\newline$ (A) $(\frac{a}{bc}+\frac{df}{e})$ matches our simplified expression. $\newline$ (B) $(\frac{a}{bc}+\frac{de}{f})$ does not match because the second term is incorrect. $\newline$ (C) $(\frac{bc}{a}+\frac{df}{e})$ does not match because the first term is inverted. $\newline$ (D) $(\frac{bc}{a}+\frac{de}{f})$ does not match because both terms are incorrect.