How to uncover rational numbers between 2 given rational numbers?If m and n be two rational numbers such that m 1/2 (m + n) is a rational number in between m and n.

You are watching: Finding a rational number between two fractions

1. Find out a rational number lying halfmethod in between 2/7 and also 3/4.Solution:Required number = 1/2 (2/7 + 3/4) = 1/2 ((8 + 21)/28) = {1/2 × 29/28) = 29/56Hence, 29/56 is a rational number lying halfmethod in between 2/7 and 3/4.

2. Find out a rational number lying in between -1/3 and also 1/2.

Solution: Required number = 1/2 (-1/3 + 1/2) = 1/2 ((-2 + 3)/6) = {1/2 × 1/6) = 1/12Hence, 1/12 is a rational number lying in between 1/3 and 1/2.

3. Find out ten rational numbers lying in between -3/11 and 8/11.

Solution:

We understand that -3

As such, -3 /11

Hence, -2/11, -1/11, 0/11, 1/11, 2/11, 3/11, 4/11, 5/11, 6/11 and7/11 are the ten rational numbers lying in between -3/11 and also 8/11.

See more: Does The In Styler Really Work ? I Tried It Tuesday: The Instyler

4. Find out three rational numbers lying in between 3 and also 4. Solution: A rational number in between 3 and also 4 is 1/2 (3 + 4) = 7/2. Then, 3 A rational number in between 3 and also 7/2 = 1/2 3 + 7/2 = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4A rational number between 7/2 and also 4 = 1/2 7/2 + 4 = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = 1/2 × 15/2 = 15/4 As such, 3 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying in between 3 and 4.

● Rational Numbers

Introduction of Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Eincredibly Rational Number a Fraction?

Confident Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest develop of a Rational Number

Standard develop of a Rational Number

Ehigh quality of Rational Numbers utilizing Standard Form

Etop quality of Rational Numbers with Usual Denominator

Etop quality of Rational Numbers utilizing Cross Multiplication

Comparikid of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descfinishing Order

Representation of Rational Numberboy the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number through Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number through Same Denominator

Subtractivity of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtractivity of Rational Numbers

Rational Expressions Involving Addition and also Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and also Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers in between Two Rational Numbers

To Find Rational Numbers