Class 7 Maths - BIHAR
Working with Fractions
In the chapter Working with Fractions, Class 7 Bihar Board students will build upon their primary school knowledge by learning advanced operations on fractions. This chapter covers proper, improper, and mixed fractions, along with equivalent fractions. Students will master addition and subtraction of fractions with unlike denominators using the LCM method, as well as multiplication and division of fractions and fractions of whole numbers. Understanding fractions is crucial for solving word problems and forms the foundation for algebra and rational numbers in higher classes, making it a high-scoring and essential topic for board examinations.
Start Learning FreeKey Concepts
Types of Fractions
Proper fractions have a numerator less than the denominator, improper fractions have a larger numerator, and mixed fractions combine a whole number with a proper fraction.
Equivalent Fractions
Fractions that represent the same value, obtained by multiplying or dividing both the numerator and denominator by the same non-zero number.
Addition and Subtraction of Unlike Fractions
To add or subtract fractions with different denominators, first find the LCM of the denominators to convert them into like fractions.
Multiplication of Fractions
Fractions are multiplied by multiplying their numerators together and their denominators together (Product of numerators / Product of denominators).
Division of Fractions
To divide a fraction by another fraction, multiply the first fraction by the reciprocal (inverse) of the second fraction.
Important Formulas
Board Exam Info
In the Bihar Board Class 7 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include simplifying fraction expressions, converting mixed fractions to improper ones, solving word problems involving quantities, and performing multiplication and division of fractions.
Frequently Asked Questions
How do we add fractions with different denominators?
First, find the LCM of the denominators to make them equal (like fractions), then add the numerators while keeping the denominator the same.
What is the reciprocal of a fraction?
The reciprocal of a fraction is obtained by flipping it upside down, meaning the numerator becomes the denominator and the denominator becomes the numerator.
Can we reduce fractions before multiplying?
Yes! You can cancel out common factors between any numerator and any denominator before multiplying to make the calculation easier.
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