Class 7 Exam > Class 7 Videos > Mathematics (Ganita Prakash) Class 7 - New NCERT > Addition of Mixed Numbers
Addition of Mixed Numbers Video Lecture | Mathematics (Ganita Prakash) Class 7 - New NCERT
FAQs on Addition of Mixed Numbers Video Lecture - Mathematics (Ganita Prakash) Class 7 - New NCERT
| 1. What are mixed numbers and how do they differ from improper fractions? |  |
Ans. Mixed numbers are a combination of a whole number and a proper fraction, such as 2 1/2, which means 2 whole parts and 1/2 of another part. Improper fractions, on the other hand, have a numerator that is greater than or equal to the denominator, such as 5/3. The main difference is that mixed numbers represent a whole number plus a fraction, while improper fractions represent a quantity greater than or equal to one whole.
| 2. How do I add mixed numbers together? | |
Ans. To add mixed numbers, first, add the whole numbers together. Then, add the fractions. If the sum of the fractions is an improper fraction, convert it to a mixed number and add it to the whole number sum. For example, to add 2 1/3 and 1 2/5, first convert both fractions to a common denominator, then add the fractions, and finally add the whole numbers.
| 3. What should I do if the fractions have different denominators? | |
Ans. When the fractions have different denominators, you need to find a common denominator. This involves determining the least common multiple (LCM) of the denominators. Once you have the common denominator, convert each fraction so they have the same denominator, then add the fractions together and follow the steps to add the whole numbers.
| 4. Can mixed numbers be simplified after addition? | |
Ans. Yes, mixed numbers can be simplified after addition. After you compute the sum and if the fraction part of the mixed number is improper (the numerator is larger than the denominator), convert it into a mixed number by dividing the numerator by the denominator. Then, if possible, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.
| 5. Why is it important to learn how to add mixed numbers? | |
Ans. Learning to add mixed numbers is important because it enhances mathematical skills needed in everyday situations, such as cooking or measuring. It also serves as a foundation for more complex math concepts in higher grades, such as algebra and geometry. Understanding how to handle mixed numbers helps in developing critical thinking and problem-solving skills.
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