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How can you write ratios of fractions as unit rates in order to solve problems?

To write ratios of fractions as unit rates, first express the ratio as a single fraction by dividing the two fractions. This can be done by multiplying the first fraction by the reciprocal of the second. Once converted into a single fraction, simplify it to find the unit rate, which shows how much of one quantity corresponds to one unit of another. This method helps to solve problems by providing a clear comparison between the two quantities involved.


Can any fraction be expressed as the sum of two unit fraction?

Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.


What is a unit in fractions?

A unit = 1 = 1/1 in fraction form.


How are unit rates and rates alike?

Unit rates are a special type of rates: those where the numerator or, more usually the denominator, of the rate is 1.


How can you solve a complex fraction to find the unit rate?

To solve a complex fraction and find the unit rate, first simplify the fraction by finding a common denominator for the numerator and the denominator. Once simplified, divide the numerator by the denominator to express it as a single fraction. Finally, interpret the result as the unit rate by expressing it in terms of one unit of measurement, such as per item or per hour. This will provide a clear understanding of the rate being analyzed.

Related Questions

How can you write ratios of fractions as unit rates in order to solve problems?

To write ratios of fractions as unit rates, first express the ratio as a single fraction by dividing the two fractions. This can be done by multiplying the first fraction by the reciprocal of the second. Once converted into a single fraction, simplify it to find the unit rate, which shows how much of one quantity corresponds to one unit of another. This method helps to solve problems by providing a clear comparison between the two quantities involved.


Why is it useful to write a ratio of a fraction as a unit rate?

For people who are not familiar with fractions it is easier to compare them in the form of unit rates.


Where in life do you use GCF and LCM?

GCF is used to simplify fractions, especially rates. For example, if you drive 480 miles using 20 gallons of gas, you can use GCF to simplify the fraction to a unit rate. The GCF of 20 and 480 is 20. 480/20 can be simplified to 24 miles per 1 gallon of gas.


Can any fraction be expressed as the sum of two unit fraction?

Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.Yes, but only if negative unit fractions are included.For example 3/7 = 1/2 - 1/14but I do not think there are positive unit fractions that will do.


Is it true that ancient Egyptians thought that all fractions could be written as unit fractions?

No. They thought that all fractions could be expressed as combinations of unit fractions. They and other ancients may have thought that any fraction could be wretten as a combination of unit fractions, but according to wikipedia they (ancient Egyptians) had special symbols for 2/3 and 3/4 and even had a papyrus used by scribes that listed the equivalents for 2/n, so they did not always write fractions as this combination of unit fractions. Does your question mean a combination of unit fractions, or as a unit fraction?


How can you do unit rates?

You're question is unclear. Most rates are unit rates. Miles per hour implies 1 hour which is a unit (1) rate.


What is a unit in fractions?

A unit = 1 = 1/1 in fraction form.


How do you do unit fractions?

How would we do it well remember a unit fraction always has one as a numerator. So 2/3 would be 1/3 plus 1/3. These are the unit fractions. It's got a 1 is a numerator all right 5/6 would be a 1 6.


How are unit rates and rates alike?

Unit rates are a special type of rates: those where the numerator or, more usually the denominator, of the rate is 1.


What is the process grouping separate pieces of information into a single unit?

The process of grouping separate pieces of information into a single unit is called aggregation. This can help simplify complex data sets and make it easier to analyze and understand trends and patterns.


What are the unit fractions for 78?

78/1


Why are rates usually written as unit rates?

With unit rates there is only one number that needs to be remembered for the conversion factor.