MHB Need to know the official name of these type of fraction problems

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The discussion revolves around identifying the official name for a specific type of fraction problem, particularly those involving dividing fractions by multiplying with the reciprocal. Participants explain that there isn't a widely recognized name for these problems, but emphasize the concept of dividing fractions as key. An example is provided, illustrating the process of solving a fraction equation. Additionally, there is a mention of resources for formatting math problems using LaTeX. The conversation highlights the importance of understanding the underlying mathematical principles involved in these fraction problems.
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Hi,
I need to know the official name of these type of fraction problems?

This is what I wrote on a flash card I couldn't upload the flashcard because of file size.

Example problem -

4/3 times x = 6/7

These are the instructions I wrote on the flash card.

1. Divide sides by left (least) (4/3) number.

2. Cross out left number (4/3).

3. Multiply reciprocal (3/4).

Thank you.
 
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Hi BR89,

Welcome to MHB! :)

I'm not aware of an official name for this kind of problem, but I would say the main idea used is dividing fractions. Dividing fractions uses the idea that if you divide by that fraction, it's the same as multiplying by the reciprocal. For example:
$$\frac{3}{\frac{2}{5}}=3 \cdot \frac{5}{2}=\frac{15}{2} $$
Or your example,
$$\frac{\frac{6}{7}}{\frac{4}{3}} = \frac{6}{7} \cdot \frac{3}{4}=\frac{18}{28}=? $$
You already had this main idea written down. Can you finish simplifying the above fraction?
 
Do you know if there are any guides to display the problem like you did in the previous post?

Thanks.
 
BR89 said:
Do you know if there are any guides to display the problem like you did in the previous post?

Thanks.
We have a LaTeX help forum on the main page (almost all the way down.) http://mathhelpboards.com/latex-help-discussion-26/. You'll pick up the basics pretty quickly.

-Dan
 
Jameson said:
Hi BR89,

Welcome to MHB! :)

I'm not aware of an official name for this kind of problem, but I would say the main idea used is dividing fractions. Dividing fractions uses the idea that if you divide by that fraction, it's the same as multiplying by the reciprocal. For example:
$$\frac{3}{\frac{2}{5}}=3 \cdot \frac{5}{2}=\frac{15}{2} $$
Or your example,
$$\frac{\frac{6}{7}}{\frac{4}{3}} = \frac{6}{7} \cdot \frac{3}{4}=\frac{18}{28}=? $$
You already had this main idea written down. Can you finish simplifying the above fraction?

[math]
\frac {6}{7} \times \frac {3} {4} = \frac {18} {28} = \frac {9} {14}\
[/math]
 
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