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Are negative fractions rational numbers?

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  • Last Updated : 03 Mar, 2022

Numbers are the mathematical values or figures used for the purpose of measuring or calculating quantities. It is represented by numerals as 2,4,7, etc. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers. When a rational number is divided, the output is in decimal form, which can be either ending or repeating. 

3,-3, 4,-4, 5, and so on are some examples of rational numbers as they can be expressed in fraction form as 3/1, 4/1, and 5/1.

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.

Conversion of Fraction to Rational number 

To convert fraction number to Rational number follow the below steps:

Step 1: If a fraction is a mixed number then change it to an improper fraction.

Step 2: Divide the numerator by denominator.

Example 1: 2 1/4 is a mixed fraction convert into rational number?

Solution:

2 1/4 can be written as 9/2 

after that divide numerator by denominator 

here divide 9 by 2 

 =  4.5 which is a rational number as it represent terminating decimal ..

Example 2: Convert 6/4 into a rational number.

Solution: 

6/4 divide numerator by denominator 

here divide 6 by 4 

= 3/2 = 1.5 hence it is a rational number .

Are negative fractions rational numbers?

Answer:

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.

Example: -4, -6, -14, 0, 1, 2, 5, -5/8, -2/12, -3/4 etc.

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers.

When a rational number is divided, the output is in decimal form, which can be either ending or repeating.

– 3, -4, -5, and so on are some examples of rational numbers as they can be expressed in fraction form as -3/1, -4/1, and -5/1.

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 answer to above question is YES negative fractions are rational numbers as rational number include all the integers both positive as well as negative integer, and fractions.

Similar Questions

Question 1: Determine whether -10/11…. is a rational 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. 

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. 

Hence, the given  fraction -10/11…. is a rational number.

Question 2: Determine whether -8/4 is a rational number or an irrational number.

Answer:

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

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 -8/4 is a rational number.

Question 3: Is -5/14 is a rational number or not?

Answer:

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

Here, the given number -5/14 is a rational number as integers are the part of rational number.

Question 4: Is -8/13 is a irrational number or not?

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.

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

Hence, the given  fraction -8/13…. is not a irrational number.

Question 5:  Is -7/11 is an irrational number or not?

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.

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

Hence, the given  fraction -7/11…. is not a irrational number.

Question 6: Is – 15/3 is an irrational number or not?

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.

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

Hence, the given  fraction -15/3…. is not a irrational number.

Question 7: Is – 10/4 is an irrational number or not?

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.

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals.

Hence, the given  fraction -10/4…. is not a irrational number.

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