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# Can any fraction be expressed as the sum of unit fractions?

Updated: 9/19/2023

Wiki User

12y ago

Yes. Although a negative fraction would have to involve addinig negative unit fractions.

A positive fraction is a number of the form x/y where x and y are positive integers.

The simplest solution is to add x lots of 1/y.

Wiki User

12y ago

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Q: Can any fraction be expressed as the sum of unit fractions?
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### 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?

### What is a fractional unit?

Unit fractions are fractions where the top number (numerator) is 1. EG: 1 over 5 ( 1/5 ) - The top number is 1 so it is a unit fraction.a unit fraction is any fraction with a numerator of 1 for example: 1/8 is a unit fraction 1/125, is a unit fraction 9/16 is NOTa unit fraction

### 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.

### Can integers include fractions?

Any integer can be expressed as a fraction. The simplest is the integer itself divided by one.

### What are the fractions equivalent to 0.6?

There are infinitely many. Any fraction which can be expressed as (3n/5n), where n is a non-zero integer.

### How is 120 expressed as a fraction?

120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.

### What is a whole in fractions?

It's any fraction in which the top number (numerator) is the same or a multiple of the bottom number (denominator).

### How many rational numbers are there between -1 and 0?

Any number that can be expressed as a fraction is rational and there are plenty of fractions from -1 to 0

### How do you convert 5 into a fraction?

5 is an integer and not a fraction. However, it can be expressed in rational form as 5/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.5 is an integer and not a fraction. However, it can be expressed in rational form as 5/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.

### What is 20 expressed as a fraction?

20 is an integer and not a fraction. However, it can be expressed in rational form as 20/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer.

### What is 187 as an improper fraction?

187 is an integer and not a fraction. However, it can be expressed in rational form as 187/1. You can then calculate equivalent rational fractions if you multiply both, its numerator and denominator, by any non-zero integer. All of them are improper fractions.

### How are all unit fractions different?

They have the same numerator (1) but different denominators. Since the numerator is 1 in each fraction, it cannot be simplified therefore each unit fraction is in its simplest form. Then, because the denominators of any two of them are different the fractions must be different.