Enter a fraction. Use the forward dash (i.e. //) to create a fraction (e.g. 1/2 is the same as [tex]$\frac{1}{2}$[/tex] ).
Similar: [$\square$]
Similarity Statement: [$\square$] ~ [$\square$]
Scale Factor: [$\square$]
Answer (2)
Create a fraction similar to 2 1 , such as 6 3 .
State the similarity statement: 2 1 ∼ 6 3 .
Determine the scale factor by which the numerator and denominator of 2 1 are multiplied to obtain 6 3 , which is 3.
The fraction is 6 3 , the similarity statement is 2 1 ∼ 6 3 , and the scale factor is 3 .
Explanation
Problem Analysis The problem is incomplete. It asks to enter a fraction and provide similarity information (Similar, Similarity Statement, Scale Factor), but does not specify what the fraction should be similar to, or what the overall goal is. Therefore, a complete analysis and solution plan cannot be provided. I will assume the user wants to create a similar fraction to 2 1 .
Creating a Similar Fraction Let's create a fraction similar to 2 1 . A similar fraction would be one that is equivalent to 2 1 . For example, 4 2 , 6 3 , 8 4 , etc. Let's choose 6 3 .
Similarity Statement The similarity statement would be that 2 1 is similar to 6 3 .
Scale Factor The scale factor is the factor by which we multiply the numerator and denominator of the original fraction to get the new fraction. In this case, we multiply the numerator and denominator of 2 1 by 3 to get 6 3 . So the scale factor is 3.
Final Answer Therefore, the fraction is 6 3 , the similarity statement is 2 1 ∼ 6 3 , and the scale factor is 3.
Examples
Understanding similar fractions and scale factors is crucial in various real-life scenarios, such as scaling recipes, interpreting maps, and understanding proportions in art and design. For instance, if a recipe calls for 2 1 cup of flour and you want to double the recipe, you need to find a similar fraction with a scale factor of 2, which would be 4 2 or 2 1 ∗ 2 = 1 cup of flour. This ensures that all the ingredients are in the correct proportion, maintaining the recipe's intended outcome.
The created fraction is 6 3 , the similarity statement is 2 1 ∼ 6 3 , and the scale factor is 3. This demonstrates how similar fractions maintain the same value while having different numerators and denominators. The scale factor explains the relationship between the fractions.
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