Can you prove this fraction problem with mean proportion?

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In summary, fraction problems are mathematical problems involving numbers expressed as fractions. To solve them, you must convert all fractions to have a common denominator, apply the appropriate operation to the numerators, simplify the resulting fraction, and check your answer. Common mistakes to avoid include forgetting to convert fractions, making calculation errors, and forgetting to simplify. Fraction problems can involve any number of fractions, and they are used in various real-life situations such as cooking, budgeting, and scientific calculations.
  • #1
kuheli
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if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
 
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  • #2
Re: please help with this fraction problem

kuheli said:
if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
Hello,
Do you got any progress?
do you know what they mean with "b is the mean proportion between a and c"
\(\displaystyle b^2=ac\) put that on left side what do you got?

Regards,
\(\displaystyle |\pi\rangle\)
 
  • #3
ya i got it .. thanks a lot :)
 

FAQ: Can you prove this fraction problem with mean proportion?

What is a fraction problem?

A fraction problem is a type of mathematical problem that involves numbers expressed as fractions. These problems typically require the manipulation of fractions using operations such as addition, subtraction, multiplication, and division.

How do I solve a fraction problem?

To solve a fraction problem, you can follow these steps:
1. Convert all fractions to have a common denominator
2. Apply the appropriate operation (addition, subtraction, multiplication, or division) to the numerators
3. Simplify the resulting fraction, if possible
4. Check your answer to make sure it is in the correct form

What are common mistakes to avoid when solving fraction problems?

Some common mistakes to avoid when solving fraction problems include forgetting to convert fractions to have a common denominator, making calculation errors when applying operations to the numerators, and forgetting to simplify the resulting fraction. It is important to double-check your work and be mindful of these potential errors.

Can fraction problems have more than two fractions?

Yes, fraction problems can involve any number of fractions. The steps for solving these problems remain the same, but it may be helpful to rewrite the problem with all fractions having a common denominator first.

How can I use fraction problems in real life?

Fraction problems are used in many real-life situations, such as cooking, calculating discounts and sales, and measuring quantities. Being able to solve fraction problems can also help with budgeting and financial planning. Additionally, many scientific and engineering fields use fractions in calculations and measurements.

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