divide these fractions and select the simplified answer.

7/x+2/9/3x+6
A. 7/9
B. 7
C. 21
D. 7/3
E. 63/4x+8

1 answer

Let's divide the fractions and simplify the expression step by step. The given problem is:

7x+293x+6

First, let's simplify the expression inside the fraction:

7x+29

To add these fractions, we need a common denominator. The common denominator for 7x and 29 is 9x:

7x=799x=639x
29=2x9x=2x9x

Now, add the fractions:

639x+2x9x=63+2x9x

So, the numerator becomes 63+2x9x.

Next, simplify the denominator 3x+6:

3x+6=3(x+2)

Now we have:

63+2x9x3(x+2)

To divide by a fraction, we multiply by the reciprocal:

63+2x9x×13(x+2)=63+2x9x×13(x+2)

=63+2x27x(x+2)

Given that none of the provided options appear to be a straightforward match to this result, I'll re-examine any potential simplification issues or misunderstandings:

Since the provided options are:

A. 79
B. 7
C. 21
D. 73
E. 634x+8

Upon reviewing the answers, none directly correlate to the simplified form. Double-checking the original problem might be necessary to confirm there are no alternate interpretations.

If around-choice mismatch persists and there are no algebra errors found, it suggests a possible misinterpretation or wrong-answer subset:

None of the above simplified forms (though mathematically consistent) present direct matches. Reviewing also if options better reform are correct.