CDS Exam > CDS Videos > Elementary Mathematics for CDS > Introduction: Fractions
Introduction: Fractions Video Lecture | Elementary Mathematics for CDS
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FAQs on Introduction: Fractions Video Lecture - Elementary Mathematics for CDS
| 1. What is a fraction? |  |
A fraction is a numerical representation that expresses the division of one quantity into parts. It consists of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of equal parts the whole is divided into. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.
| 2. How do you add fractions with the same denominator? | |
To add fractions with the same denominator, you simply add the numerators and keep the same denominator. For example, to add 1/4 and 2/4, you add 1 + 2 = 3, and the denominator remains 4. Therefore, the sum is 3/4.
| 3. How do you subtract fractions with different denominators? | |
To subtract fractions with different denominators, you need to find a common denominator. This is achieved by finding the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by subtracting the numerators and keeping the common denominator. For example, to subtract 1/3 from 2/5, you find the common denominator to be 15. Then, you subtract 1/3 from 2/5 to get (10/15) - (5/15) = 5/15. Simplifying, the result is 1/3.
| 4. How do you multiply fractions? | |
To multiply fractions, you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, to multiply 2/3 and 4/5, you multiply 2 * 4 = 8 for the numerator, and 3 * 5 = 15 for the denominator. Therefore, the product is 8/15.
| 5. How do you divide fractions? | |
To divide fractions, you take the reciprocal (flip) the second fraction and then multiply. This means you keep the first fraction as is, but flip the second fraction and change the division sign to a multiplication sign. Then, you multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, to divide 2/3 by 4/5, you keep 2/3 as is and flip 4/5 to become 5/4. Then, you multiply 2/3 by 5/4 to get (2 * 5) / (3 * 4) = 10/12. Simplifying, the result is 5/6.
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Dec 23, 2024 Last updated |
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