Are improper fractions rational numbers?
Rational numbers have the form p/q, where p and q are integers and q ≠0. Most people have difficulty distinguishing between fractions and rational numbers because of the underlying structure of numbers, the p/q form. When you divide a rational number, the result is in decimal form, which might be either ending or recurring. Examples of rational numbers are 2, -2, 4, -4, 7, and so on, which may be represented in fraction form as 2/1, 4/1, and 7/1.
A rational number is a kind of real number with the formula p/q, where q ≠0. When a rational number is divided, the outcome is a decimal number, which can be either ended or repeated.
Improper Fractions
An improper fraction is one in which the numerator is higher than or greater than the denominator, such as 7/3 and 12/5. When compared to other types of fractions such as mixed fractions, improper fractions are easier to answer using addition and subtraction.
Are improper fractions rational numbers?
Answer:
If a numerator is greater than denominator in fraction then the improper fraction will be rational number.
- Example 1: We have fraction 5/4 its a improper fraction as here numerator is greater than denominator. After dividing 5 by 4 , the result will be 1.25 which is a terminating after decimal , therefore its an rational number.
- Example 2: Now fraction 6/5 its a improper fraction as numerator is greater than denominator. Therefore after dividing 6 by 5 , the result will be 1.2 its a rational number.
Similar Questions
Question 1: Identify improper fractions out of the below numbers,
13/5, 3, 2/9, 4/2, 4/5.
Answer:
An improper fraction is one in which the numerator is higher than or greater than the denominator.
Here improper functions are: 13/5, 4/2, 3
Question 2: Is 16/4 rational or not?
Answer:
Here Given 16/4, we can simplify it by dividing 16/4 is 4, therefore 4 can be written as 4/1 hence its an improper fraction and rational number.
Question 3: Identify whether the 17/5 improper fraction is rational or not?
Answer:
An improper fraction is one in which the numerator is higher than or greater than the denominator, such as 7/3 and 12/5. When compared to other types of fractions such as mixed fractions, improper fractions are easier to answer using addition and subtraction.
Given: 17/5 which is an improper fraction, after dividing 17/5 we will get 3.4 which is terminating after decimal. Therefore 17/5 is a rational number
Question 4: Simplify improper fractions 6/5 + 8/5 and find out the result is rational or not?
Solution:
Given: 6/5 + 8/5
Here with the same denominator is 5.
= 6/5 + 8/5
= (6 + 8)/5
= 14/5
Here 14/5 is improper fraction.
After dividing 14/5 we will get 2.8 which is terminating digit after decimal,
Therefore its a rational number.
Question 5: Simplify improper fractions 4/5 – 12/5 and find out the result is rational or not?
Solution:
Given: 4/5 – 12/5
Here with the same denominator is 5.
= 4/5 – 12/5
= (4 – 12)/5
= – 8/5
Here – 8/5 is improper fraction.
After dividing 8/5 we will get -1.6 which is terminating digit after decimal, hence it is negative and rational number include all the integers.
Therefore its a rational number.
Question 6: Determine whether 11/5 is a rational number or an irrational number.
Answer:
A rational number is a sort of real number that has the form p/q where q ≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.
Here, the given number 11/5 can be written as after simplify 2.2… is an rational number as it has terminating digits after decimal
Therefore 11/5 is a rational number .
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