How to Solve Algebraic Equations with Fractions: (1/n) = (n/100)

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In summary, setting (1/n) equal to (n/100) means equating the fraction 1 over n to the fraction n over 100. This is often used in solving problems involving proportions or converting between fractions and percentages. To solve this type of equation, algebraic techniques such as cross-multiplication or simplifying fractions can be used. One example of a real-life situation where this equation would be used is calculating tax on a purchase. However, this equation has limitations, such as only being applicable when the denominator is not equal to 0 and when the two fractions have the same value.
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Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)
 
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939 said:
Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)

##n^2=100##, so ##n=\pm 10##.
 
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Multiply both sides by '100*n'.
 
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Related to How to Solve Algebraic Equations with Fractions: (1/n) = (n/100)

1. What does it mean to set (1/n) equal to (n/100)?

Setting (1/n) equal to (n/100) means that the fraction 1 over n is being equated to the fraction n over 100. In other words, these two fractions have the same value.

2. Why would someone want to set (1/n) equal to (n/100)?

This type of equation can be useful in solving problems involving proportions or ratios. It can also be used to convert between fractions and percentages.

3. How do you solve an equation that involves setting (1/n) equal to (n/100)?

To solve this type of equation, you will need to use algebraic techniques such as cross-multiplication or simplifying fractions. The goal is to find the value of n that makes the two fractions equal.

4. Can you give an example of a real-life situation where setting (1/n) equal to (n/100) would be used?

One example could be calculating the tax on a purchase. If the tax rate is 10%, you could set (1/n) equal to (n/100) to find the total cost of the purchase after tax.

5. Are there any limitations to setting (1/n) equal to (n/100)?

Yes, one limitation is that this equation can only be used for fractions where the denominator is not equal to 0. It is also limited to situations where the two fractions have the same value.

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