Mastering Complex Fraction Simplification for Struggling Students

In summary, the conversation is about simplifying complex fractions and the person is seeking help. Some questions and tips for solving the problem were provided, including using the product of the top fraction with the inverse of the bottom fraction and making common denominators before combining fractions. The issue of not being able to see the fractions was also mentioned.
  • #1
ChrisFlory
1
0
I need some help Simplifying Complex Fractions. Here are some of the questions:

http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_10.gif

http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_11.gif

http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_12.gif

http://learn.flvs.net/webdav/educator_algebra2_v5/Module6/ImagMod6/M6_07_14.gif

I've been struggling with this for awhile, can any help me?

Thanks for any and all help! :)
 
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  • #2
What have you attempted so far? You can do the first step using:

[tex]
\frac{{\frac{a}{b}}}{{\frac{c}{d}}} =
\frac{a}{b} \cdot \frac{d}{c}
[/tex]

That is: a fraction of two fractions is the same as the product of the top fraction with the inverse of the bottom fraction.

Give it a shot :smile:
 
  • #3
why can't i see the fractions?
 
  • #4
suspenc3 said:
why can't i see the fractions?

They keep disappearing for me too.
 
  • #5
Also,

[tex] \frac{{\frac{a}{c}}}{{\frac{b}{c}}} =
\frac{a}{b}
[/tex]

(A very useful version of what TD supplied earlier.)

If you remember to make common denominators before combining fractions, and remember how to factor the difference of perfect squares, you should be all set.
 
  • #6
The fractions have been posted as "gif"s which can take "forever" to load. Much better to use LaTex.
 

Related to Mastering Complex Fraction Simplification for Struggling Students

1. What are complex fractions?

Complex fractions are fractions that contain fractions in the numerator, denominator, or both. They can also include variables or expressions in the numerator, denominator, or both.

2. How do I simplify complex fractions?

To simplify a complex fraction, you need to first find a common denominator for all the fractions within the complex fraction. Then, convert each fraction to its equivalent form with the common denominator. Finally, simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor.

3. Can complex fractions be simplified to a single number?

Yes, complex fractions can be simplified to a single number. However, the resulting number may be a decimal or a mixed number.

4. Do I need to simplify complex fractions in all cases?

No, simplifying complex fractions is not always necessary. It depends on the context and what the complex fraction represents. In some cases, leaving the complex fraction in its original form may be more useful.

5. Are there any rules or shortcuts for simplifying complex fractions?

There are no specific rules or shortcuts for simplifying complex fractions. It is important to follow the steps of finding a common denominator and simplifying as much as possible. Practice and familiarity with fractions can also make simplifying complex fractions easier.

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