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INTRODUCTION OF FRACTION

__FRACTION -__

**Fractions are a way of representing numbers that are not whole numbers. They consist of two parts: the numerator and the denominator, separated by a horizontal line, which is called a fraction bar. The numerator represents the number of equal parts you have, while the denominator represents the total number of equal parts that make up the whole. A fraction consists of two parts: a numerator and a denominator. The numerator is the number above the fraction line, and the denominator is the number below it.**

**The general format of a fraction is:-**

** Numerator**** ---------------**** Denominator**

**For example, in the fraction 3/4:**

**The numerator is 3, which means there are 3 equal parts.****The denominator is 4, which means the whole is divided into****4 equal parts.**

**1/2: One-half (1 divided by 2)****3/4: Three-fourths (3 divided by 4)****5/8: Five-eighths (5 divided by 8)****2/3: Two-thirds (2 divided by 3)**

**Fractions can represent parts of a whole or parts of a collection. When the numerator is smaller than the denominator (e.g., 1/2 or 3/4), the value of the fraction is less than one, representing a proper fraction. If the numerator is equal to or greater than the denominator (e.g., 5/4 or 7/7), the value is greater than one, and it is called an improper fraction.**

**Converting between fractions and decimals:
Fractions can also be represented as decimals. To convert a fraction to a decimal, you perform the division. For example, to convert 3/4 to a decimal, you divide 3 by 4,**

**3 รท 4 = 0.75.**

__Arithmetic operations with fractions :- __

** You can perform arithmetic operations (addition, subtraction, multiplication, and division) with fractions, but it often involves finding a common denominator. For example:**

__Adding fractions:-__To add fractions, they should have the same denominator. If they don't, you need to find a common denominator before adding them together.__Subtracting fractions:-__Similar to addition, you need a common denominator before subtracting fractions.__Multiplying fractions:-__To multiply fractions, you simply multiply the numerators together and the denominators together.__Dividing fractions:-__To divide fractions, you invert the second fraction (i.e., swap the numerator and denominator) and then multiply the two fractions.

**Working with fractions can be a valuable skill in various areas, such as cooking, woodworking, and mathematics. Understanding fractions allows you to express precise measurements and proportions in a concise way.**

**The fraction 3/4 can be visually represented as:**

** 3**

** ---------**

** 4**

**Here are some key terms related to fractions:**

__Proper Fraction:-__A fraction where the numerator is smaller than the denominator (e.g., 1/2 or 3/5).__Improper Fraction:-__A fraction where the numerator is equal to or greater than the denominator (e.g., 5/4 or 7/3).__Mixed Number:-__A combination of a whole number and a proper fraction (e.g., 1/2 or 3/4).__Equivalent Fractions:-__Fractions that represent the same quantity but have different numerators and denominators (e.g., 1/2 and 2/4 are equivalent).__Simplifying or Reducing:-__Expressing a fraction in its simplest form by dividing both the numerator and denominator by their greatest common divisor.__Adding and Subtracting Fractions:-__To add or subtract fractions, their denominators must be the same. If they are not the same, you need to find a common denominator before performing the operation.__Multiplying and Dividing Fractions:-__To multiply fractions, you simply multiply the numerators and denominators separately. To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.