Class 7 Maths - ODISHA
Working with Fractions
The Chapter 'Working with Fractions' in Class 7 Mathematics builds upon the foundational knowledge of fractions acquired in lower classes, as outlined by the Board of Secondary Education (BSE) Odisha. Students will learn how to perform fundamental arithmetic operations—addition, subtraction, multiplication, and division—on both proper and improper fractions, as well as mixed numbers. Special emphasis is placed on multiplying fractions by whole numbers and other fractions, and understanding fractions as operators like 'of'. This chapter is critically important for BSE Odisha board exams as it forms the bedrock for algebra, ratios, and rational numbers in higher classes, frequently appearing in both objective and short-answer questions.
Start Learning FreeKey Concepts
Proper, Improper, and Mixed Fractions
A proper fraction has a numerator smaller than its denominator, an improper fraction has a larger numerator, and a mixed number consists of a whole number and a proper fraction.
Multiplication of Fractions
To multiply two fractions, multiply their numerators together to get the new numerator, and their denominators together to get the new denominator.
Reciprocal of a Fraction
The reciprocal of a non-zero fraction is obtained by interchanging its numerator and denominator, which is essential for division.
Division of Fractions
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction (Keep-Change-Flip method).
Fraction as an Operator 'Of'
The word 'of' represents multiplication. For example, '1/2 of 4' means 1/2 multiplied by 4.
Important Formulas
Board Exam Info
In the Odisha (BSE) Class 7 mathematics examinations, this chapter typically carries around 6 to 8 marks. Questions frequently appear as 1-mark objective questions (such as finding reciprocals or 'of' problems), 2-mark short-answer questions involving multiplication and division, and 3-mark word problems based on daily life applications.
Frequently Asked Questions
Why do we flip the second fraction when dividing?
Flipping the second fraction means multiplying by its reciprocal, which is the standard mathematical rule to inverse division into multiplication for fractions.
How do I solve word problems involving 'of'?
Simply replace the word 'of' with a multiplication sign and solve the resulting fraction multiplication problem.
Do I need to convert mixed fractions to improper fractions before multiplying?
Yes, it is always easier and safer to convert mixed fractions into improper fractions before performing multiplication or division.
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