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Learning Poster: Fractions

Learning Poster: Fractions

The document Learning Poster: Fractions is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Learning Poster: Fractions

1. What are fractions?
Ans. Fractions represent a part of a whole or a division of quantities. They consist of two numbers: the numerator, which indicates how many parts we have, and the denominator, which 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.
2. How do you add and subtract fractions?
Ans. To add or subtract fractions, they must have a common denominator. If the denominators are different, find the least common multiple (LCM) of the denominators to create equivalent fractions. Once the fractions have the same denominator, add or subtract the numerators while keeping the denominator the same. For example, to add ⅓ and ¼, convert them to ⅓ = ⁴⁄₁₂ and ¼ = ³⁄₁₂, then sum the numerators: ⁴ + ³ = ⁷, giving ⁷⁄₁₂.
3. What is the difference between proper and improper fractions?
Ans. Proper fractions are those where the numerator is less than the denominator, indicating a value less than one, such as ⅗. Improper fractions have a numerator that is greater than or equal to the denominator, such as ⁵⁄₄, which can also be expressed as a mixed number (1 ¼).
4. How do you convert a mixed number to an improper fraction?
Ans. To convert a mixed number to an improper fraction, multiply the whole number by the denominator, then add the numerator. This sum becomes the new numerator, while the denominator remains the same. For example, to convert 2 ⅗ to an improper fraction: (2 × 5) + 3 = 10 + 3 = 13, so 2 ⅗ = ¹³⁄₅.
5. What are equivalent fractions?
Ans. Equivalent fractions are different fractions that represent the same value or proportion of a whole. For instance, ½, ²⁄₄, and ⁴⁄₈ are all equivalent because they represent the same part of a whole, even though they have different numerators and denominators. To determine if two fractions are equivalent, cross-multiply and check if the products are equal.
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