Which of the following rational number lies between 1/10 and 9/4?
16/9×(5/7+13/4)
Answers
Answer:
A number is a mathematical object which is used to count, measure, and label the mathematical concepts. Numbers are the basic units of Mathematics. All types of numbers used in Mathematics are grouped under the banner of a Number system. Various kinds of numbers include prime numbers, composite numbers, odd numbers, even numbers, natural numbers, whole numbers, integers, decimal numbers, fractions, rational numbers, irrational numbers, real numbers, and imaginary numbers. All the numbers that exist in reality are called the real numbers. All the numbers that do not exist and are assumed to explain a few mathematical concepts are called imaginary numbers. Real numbers are broadly classified into rational numbers and irrational numbers. Rational numbers are the numbers that can be expressed in the form of a fraction whose denominator is not equal to zero. Irrational numbers are the numbers that cannot be expressed in the form of a fraction such that the denominator is not equal to zero.(image will be updated soon)
Rational Numbers Between Two Rational Numbers:
Rational numbers are the numbers which can be expressed in the form of p and q where q ≠ 0. Examples for rational numbers are prime and composite numbers, odd and even numbers, decimals and fractions. A number of rational numbers between two rational numbers can be located. Between any two rational numbers, countless rational numbers can be found.
How to Find Rational Numbers Between two Rational Numbers With the Same Denominator Value?
The first step in determining the rational numbers between two rational numbers is to check the value of the denominators.
If the denominator values are the same, check the value of the numerators.
If the numerators differ by a large value, then the rational numbers between the two rational numbers can be written in the increments of one for the numerator without altering the value of the denominator.
Example: The 5 rational numbers between 1/9 and 7/9 are 2/9,3/9,4/9,5/9,6/9
If the values of the numerators differ by a lesser value than the number of rational numbers to be found, then the numerators and denominators of both the rational numbers are multiplied by multiples of 10.
Example: If 10 rational numbers are to be found between 2/7and 5/7, both the rational numbers are to be multiplied with 10/10.
2/7 x 10/10=20/70
5/7 x 10/10=50/70
Explanation: