What is a rational number between [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{4}[/tex]?
Answer (3)
The rational number between 1/8 and 1/4 is 3/16.
We have,
To find a rational number between two given fractions, we can take their average.
In this case, the given fractions are 1/8 and 1/4.
The average of two fractions is found by adding them together and dividing by 2.
So, we have (1/8 + 1/4) / 2.
To add the fractions, we need a common denominator, which in this case is 8.
1/8 + 1/4 = 1/8 + 2/8 = 3/8.
Then, we divide 3/8 by 2 to find the average:
(3/8) / 2 = 3/8 * 1/2 = 3/16.
Therefore,
The rational number between 1/8 and 1/4 is 3/16. It lies exactly halfway between the two given fractions on the number line.
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A rational number between 1/8 and 1/4 is 3/16.
A student is looking for a rational number that lies between 1/8 and 1/4. To find such a number, we need to identify two fractions with common denominators that fit the criteria. Here's the step-by-step approach:
Finding a common denominator for 1/8 and 1/4, we see that 8 is the least common multiple. So we express both fractions with a denominator of 8: 1/8 = 1/8; 1/4 = 2/8.
Now we pick a number with a denominator of 8 which lies between 1/8 and 2/8. A suitable fraction could be 3/16, as when expressed with a denominator of 8, it would be 1.5/8, which is between 1/8 and 2/8.
Therefore, 3/16 is a rational number that lies between 1/8 and 1/4. Other examples could include 5/32 or 7/32 when simplified to have the same denominator.
The rational number between 8 1 and 4 1 is 16 3 . This can be found by calculating the average of the two fractions. We first convert 4 1 to 8 2 to find the midpoint, which results in 16 3 .
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