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Introduction to Fractions Video Lecture | Mathematics for Class 3

FAQs on Introduction to Fractions Video Lecture - Mathematics for Class 3

1. What is a fraction and how is it represented?
Ans. A fraction is a way to represent a part of a whole. It consists of two numbers: the numerator and the denominator. The numerator, which is the top part of the fraction, indicates how many parts we have, while the denominator, the bottom part, shows how many equal parts the whole is divided into. For example, in the fraction ¾, 3 is the numerator and 4 is the denominator, meaning we have 3 parts out of a total of 4 equal parts.
2. How do you add fractions with the same denominator?
Ans. To add fractions with the same denominator, you simply add the numerators together while keeping the denominator the same. For example, if you have the fractions ⅖ and ⅖, you would add the numerators (2 + 2 = 4) and keep the denominator (5), resulting in ⁴⁵. However, if the sum of the numerators equals or exceeds the denominator, you may need to simplify the fraction or convert it to a mixed number.
3. What is the difference between proper and improper fractions?
Ans. A proper fraction is one where the numerator is less than the denominator, such as ⅗. An improper fraction, on the other hand, has a numerator that is greater than or equal to the denominator, like ⁸⁴. Improper fractions can also be expressed as mixed numbers, which combine a whole number and a proper fraction, such as turning ⁸⁴ into 2⅖.
4. How can you convert a fraction to a decimal?
Ans. To convert a fraction to a decimal, divide the numerator by the denominator. For instance, to convert ¾ to a decimal, you would calculate 3 ÷ 4, which equals 0.75. This shows that ¾ is equivalent to the decimal 0.75.
5. What are equivalent fractions and how can you find them?
Ans. Equivalent fractions are different fractions that represent the same value or proportion of a whole. To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, multiplying the numerator and denominator of ½ by 2 gives you ²⁄₄, which is an equivalent fraction.
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