Working with Fractions Video Lecture - (Ganita Prakash) Class 7 - New NCERT

FAQs on Working with Fractions

1. What are fractions?
Ans. Fractions represent a part of a whole. 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 fractions with different denominators?
Ans. To add fractions with different denominators, first, find a common denominator. This is usually the least common multiple of both denominators. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators while keeping the denominator the same. Finally, simplify the resulting fraction if possible.
3. What is the process to simplify a fraction?
Ans. To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For instance, to simplify the fraction 8/12, the GCD of 8 and 12 is 4. Dividing both by 4 gives 2/3, which is the simplified form.
4. How do you subtract fractions?
Ans. To subtract fractions, similar to addition, you need a common denominator. If the fractions have different denominators, find the least common multiple and convert each fraction accordingly. Then, subtract the numerators and keep the denominator the same. Finally, simplify the fraction if needed.
5. What are mixed numbers and improper fractions?
Ans. A mixed number is a combination of a whole number and a fraction, such as 2⅗, which means 2 whole parts and ⅗ of a part. An improper fraction, on the other hand, has a numerator that is greater than or equal to the denominator, such as 9/4. Improper fractions can be converted to mixed numbers by dividing the numerator by the denominator.
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