Class 7 Maths - CBSE
Working with Fractions
In the Class 7 CBSE chapter 'Working with Fractions', students build upon their primary school knowledge by diving deeper into operations involving proper, improper, and mixed fractions. This chapter covers crucial mathematical skills including multiplication and division of fractions, finding fractional parts of whole numbers, and dealing with decimal fractions. Mastering these concepts is essential because fractions form the foundational building blocks for algebra, ratios, and percentages in higher classes. In CBSE board exams, questions from this chapter consistently appear as word problems and simplification sums, making a strong grasp of these techniques vital for scoring high marks.
Start Learning FreeKey Concepts
Multiplication of a Fraction by a Whole Number
To multiply a whole number by a fraction, multiply the whole number with the numerator of the fraction while keeping the denominator the same.
Multiplication of a Fraction by a Fraction
Multiply the numerators together to get the new numerator, and multiply the 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.
Division of Fractions
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction.
Multiplication and Division of Decimal Fractions
Decimals are fractions with powers of 10 as denominators, multiplied or divided by shifting the decimal point to the right or left respectively.
Important Formulas
Board Exam Info
In CBSE Class 7 Mathematics, this chapter typically carries around 6 to 8 marks. Common question types include direct calculation of products and quotients, simplification of complex fraction expressions, and multi-step word problems involving quantities like distance, money, or weight.
Frequently Asked Questions
How do I divide two fractions easily?
Remember the rule: Keep-Change-Flip. Keep the first fraction the same, change division to multiplication, and flip the second fraction to its reciprocal.
What is the difference between a reciprocal and an inverse?
In elementary arithmetic for fractions, the reciprocal and multiplicative inverse mean the exact same thing—flipping the fraction upside down.
Do I need to convert mixed fractions to improper fractions before multiplying?
Yes, it is always safest to convert mixed fractions into improper fractions first before performing multiplication or division.
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