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Class 7 Maths Chapter 8 Mindmap - Working with Fractions

Class 7 Maths Chapter 8 Mindmap - Working with Fractions

The document Class 7 Maths Chapter 8 Mindmap - Working with Fractions is a part of the Class 7 Course Mathematics Olympiad Class 7.
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FAQs on Class 7 Maths Chapter 8 Mindmap - Working with Fractions

1. What are fractions and how are they represented?
Ans. Fractions represent a part of a whole. They are written in the form of a numerator and a denominator, separated by a slash. The numerator indicates how many parts we have, while the denominator shows how many 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 and subtract fractions?
Ans. To add or subtract fractions, they must have the same denominator. If they don’t, you need to find a common denominator first. Once they have the same denominator, you simply add or subtract the numerators and keep the denominator the same. For example, to add 1/4 and 2/4, you would do 1 + 2 = 3, so 1/4 + 2/4 = 3/4.
3. What is a mixed number and how do you convert an improper fraction to a mixed number?
Ans. A mixed number consists of a whole number and a fraction. To convert an improper fraction (where the numerator is larger than the denominator) to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction. For example, for the improper fraction 9/4, 9 divided by 4 is 2 with a remainder of 1, so it converts to 2 1/4.
4. How do you multiply and divide fractions?
Ans. To multiply fractions, you simply multiply the numerators together and the denominators together. For example, 2/3 multiplied by 4/5 equals (2*4)/(3*5) = 8/15. To divide fractions, you multiply by the reciprocal of the second fraction. For example, to divide 2/3 by 4/5, you multiply 2/3 by 5/4, which equals (2*5)/(3*4) = 10/12, which simplifies to 5/6.
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 the 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, 1/2 is equivalent to 2/4, because both fractions represent the same portion of a whole.
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