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Cross-multiply them in pairs. The ratios are the same if and only if the answers are the same.

Thus a/b = c/d iff a*d = b*c.

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How could you use the relationship between the numerator and denominator of fractions equivalent to one half to determine if a fraction is less than one half?

If the denominator is more than double the numerator, then the fraction is less than a half.


Are the ratios 5 dogs to 7 cats and 25 dogs to 35 cats equivalent?

YES! It is because 5x5=25 and than 5x7=35, so there you have it folks!


Why was the golden ratio widely used?

Because it was found to be more aesthetically pleasing to most people than other ratios.


How are comparing two ratios and two fractions alike?

Comparing two ratios and two fractions is similar because both involve evaluating the relative sizes of two quantities. In both cases, the goal is to determine if one is greater than, less than, or equal to the other. For ratios, this often involves cross-multiplication, while for fractions, a common denominator is typically used. Ultimately, both processes help in understanding proportional relationships between numbers.


How can you use scaling or equivalent ratios to make a decision?

Scaling or using equivalent ratios can help in decision-making by allowing for comparisons between different quantities or situations in a standardized way. For instance, if you need to choose between two different products based on price and quality, you can create a ratio of price to quality for each product. By scaling these ratios, you can easily identify which product offers better value for money. This method ensures that decisions are based on objective data rather than subjective opinions.

Related Questions

In financial analysis why does the analyst compute financial ratios rather than simply studying raw financial data?

In financial analysis the analyst compute financial ratios to determine the financial health of an financial institutoin rather than simply studying raw financial data.


What are three Equivalent ratios for 21 to 56?

21:56 42:112 63:168


What is the unit of cosine25?

Since trig functions are no more than ratios between the sides, it is unitless.


How could you use the relationship between the numerator and denominator of fractions equivalent to one half to determine if a fraction is less than one half?

If the denominator is more than double the numerator, then the fraction is less than a half.


Are the ratios 5 dogs to 7 cats and 25 dogs to 35 cats equivalent?

YES! It is because 5x5=25 and than 5x7=35, so there you have it folks!


Why was the golden ratio widely used?

Because it was found to be more aesthetically pleasing to most people than other ratios.


How are comparing two ratios and two fractions alike?

Comparing two ratios and two fractions is similar because both involve evaluating the relative sizes of two quantities. In both cases, the goal is to determine if one is greater than, less than, or equal to the other. For ratios, this often involves cross-multiplication, while for fractions, a common denominator is typically used. Ultimately, both processes help in understanding proportional relationships between numbers.


How do you tell if ratios are equivalent?

Ratios can be expressed as fractions. For example 1:7 can be written 1/7. Just as a fraction can be converted into an equivalent fraction by multiplying (or dividing) both the numerator and denominator by the same number then the same process can be applied to ratios. To compare two ratios then convert either the first or second number of the ratio so that both ratios have the same number. A direct comparison can then be made. EXAMPLE : 3:7 compared to 334 :777 If the figures in the first ratio are multiplied by 111 this makes the second number in both ratios the same. Then 3:7 is equivalent 333:777 which is not equal to 334:777 Equally, The second number in the second ratio could be divided by 111 in which case the comparison would then become 334:777 is equivalent to 3.009:7 which is not 3:7.


Why is popcorn a mixture?

Because it contains more than one elements, and the mass ratios among its elements are not constant from one sample of popcorn to another.


How can you use scaling or equivalent ratios to make a decision?

Scaling or using equivalent ratios can help in decision-making by allowing for comparisons between different quantities or situations in a standardized way. For instance, if you need to choose between two different products based on price and quality, you can create a ratio of price to quality for each product. By scaling these ratios, you can easily identify which product offers better value for money. This method ensures that decisions are based on objective data rather than subjective opinions.


What is compound proportion?

Compound proportion refers to a mathematical relationship between two ratios where multiple quantities are compared. It involves comparing multiple ratios involving more than two quantities in a proportional relationship.


Is 1 gram more than 1000 milligrams?

They are equivalent.