<h3>Introduction to Fractions</h3> <p> Fractions are an important part of mathematics that help us understand parts of a whole. In our daily life, we use fractions when we divide a pizza among friends, measure ingredients while cooking, share chocolates equally, or calculate portions of a quantity. A fraction represents a part of a complete object or number and is written using two numbers: a numerator and a denominator. The numerator shows how many parts we have, while the denominator shows the total number of equal parts into which the whole is divided. </p> <p> In this chapter, students will learn different types of fractions, including proper fractions, improper fractions, and mixed fractions. A proper fraction has a numerator smaller than its denominator, such as 3/5. An improper fraction has a numerator greater than or equal to its denominator, such as 7/4. Mixed fractions contain a whole number and a proper fraction together, such as 2 1/3. Students will also learn how to convert mixed fractions into improper fractions and improper fractions back into mixed fractions. </p> <p> Fractions can have the same or different denominators. Fractions with the same denominator are called like fractions, while fractions with different denominators are called unlike fractions. Understanding this difference helps us perform addition and subtraction easily. Students will practice finding common denominators using LCM (Least Common Multiple) and learn how to add and subtract fractions with both like and unlike denominators. </p> <p> Comparing fractions is another important skill covered in this chapter. Students will learn how to identify which fraction is greater or smaller by comparing numerators, denominators, or converting fractions into equivalent forms. This helps in arranging fractions in ascending and descending order. </p> <p> This chapter also introduces multiplication and division of fractions. Students will learn that multiplying fractions involves multiplying numerators together and denominators together. They will also understand how to divide one fraction by another fraction by using the reciprocal method. Fraction operations are applied to real-life problems involving measurements, quantities, recipes, distances, and sharing objects equally. </p> <p> Students will also explore important mathematical properties such as the commutative property, associative property, and additive identity. The commutative property explains that changing the order of numbers does not change the answer. The associative property shows that changing the grouping of numbers during addition does not affect the result. The additive identity property explains that adding zero to any fraction keeps the fraction unchanged. </p> <p> By solving different types of fraction-based problems, including story problems and real-life situations, students will develop strong problem-solving skills. This practice set is designed to improve accuracy, logical thinking, and confidence in handling advanced fraction concepts at the Class 5 level. </p>