Khan Academy Get Al Tutoring NEW Dona Unit test Google Classroom (((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,df Start over 8 of 13

Question

Khan Academy Get Al Tutoring NEW Dona Unit test Google Classroom  (((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,df Start over 8 of 13

Bytelearn · Accepted Answer

Division Simplification: To simplify the given expression, we need to handle the division and addition separately. Let's start with the division part of the expression: (((a)/(b)))/(c). This can be simplified by multiplying the numerator by the reciprocal of the denominator.Reciprocal Multiplication: The reciprocal of c is 1/c. So, we multiply (a/b) by (1/c) to simplify the division. This gives us (a/b) * (1/c) = (a)/(bc).Addition Simplification: Now let's simplify the addition part of the expression: (d)/(((e)/(f))). Since division by a fraction is the same as multiplying by its reciprocal, we can rewrite this as (d) * (f/e).Combining Simplified Parts: Combining the two parts we have simplified, we get (a)/(bc) + (d) * (f/e). To combine these into a single fraction, we need a common denominator.Finding Common Denominator: The common denominator for the two fractions (a)/(bc) and (df)/(e) is bc*e. However, since there is no term in the original expression that combines c, e, and f in the denominator, we should not combine the two fractions we have into a single fraction with a denominator of bc*e. Instead, we should look at the answer choices to see which one matches the form of our simplified expression.Matching Answer Choices: Looking at the answer choices, we see that choice (A) is (a)/(bc)+(df)/(e), which matches the form of our simplified expression. Therefore, choice (A) is equivalent to the original expression.

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

Full solution

More problems from Roots of rational numbers

Related topics