Final answer:
The number that is greater than 1/9 and less than 5/8 could be 1/2, as this fraction equals 0.5 when converted to a decimal, fitting within the specified range. The fraction is also termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.
Step-by-step explanation:
The student is asking for a number that is less than 5/8 but greater than 1/9. To find a number that fits this criteria, let's convert these fractions to decimals for easy comparison. The fraction 5/8 is equivalent to 0.625, and 1/9 is approximately 0.111. Now, we need a decimal that is more than 0.111 but less than 0.625. An example of such a number could be 1/2, which is equal to 0.5. This falls within the desired range.
Another way to verify this is to look at the fractions given: 1/2 is exactly between 0 and 1, which makes it logically greater than 1/9 and less than 5/8. No complex calculations are required, as 1/2 is a common fraction and its place on the number line between the two given fractions can be easily visualized.
In Mathematics, fractions are defined as the parts of a whole. The whole can be an object or a group of objects. In real life, when we cut a piece of cake from the whole of it, then the portion is the fraction of the cake. A fraction is a word that is originated from Latin. In Latin, “Fractus” means “broken”. In ancient times, the fraction was represented using words. Later, it was introduced in numerical form.