Class 7 Maths - RAJASTHAN
Working with Fractions
In the chapter 'Working with Fractions', Class 7 Rajasthan Board students build upon their primary school knowledge of fractions. This chapter explores proper, improper, and mixed fractions, along with essential operations such as addition, subtraction, multiplication, and division. You will learn how to find fractions of a whole, multiply a fraction by a whole number or another fraction, and divide fractions using reciprocals. Fractions are crucial building blocks in mathematics that appear frequently in daily life calculations, algebra, and geometry. Mastering this chapter is vital for scoring well in your board exams, as it forms the base for rational numbers and percentages in higher classes.
Start Learning FreeKey Concepts
Types of Fractions
Fractions are classified into proper fractions (numerator is less than denominator), improper fractions (numerator is greater), and mixed fractions (combination of a whole number and a proper fraction).
Multiplication of Fractions
To multiply two fractions, simply multiply their numerators together to get the new numerator, and multiply 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. For example, the reciprocal of 2/3 is 3/2.
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 Rajasthan Board Class 7 Mathematics examination, this chapter typically carries around 5 to 8 marks. Common question types include simplifying fraction expressions, word problems based on daily life applications (like distance, weight, or quantity), and converting mixed fractions to improper fractions and vice versa.
Frequently Asked Questions
How do I divide two fractions easily?
Remember the rule 'Keep-Change-Flip': keep the first fraction the same, change the division sign to multiplication, and flip the second fraction to its reciprocal.
Do I need to find a common denominator for multiplying fractions?
No, common denominators are only needed for adding and subtracting fractions. For multiplication, you simply multiply straight across (numerators together, denominators together).
How do I solve word problems involving the word 'of'?
Whenever you see the word 'of' in a fraction problem, replace it with a multiplication sign (×) and solve.
Learn Working with Fractions with Your AI Tutor
10 different ways to study this chapter. Free for 3 chapters per day.
Lecture
Key Points
Interactive
Quiz
Flashcards