The primary sector involves activities that:

produce goods directly from nature

Which of these belongs to the secondary sector?

Manufacturing cloth from cotton in a factory

What is a fractional unit?

When one whole is divided into several equal parts, each part is a fractional unit, such as \(\tfrac{1}{2}, \tfrac{1}{3}\) or \(\tfrac{1}{4}\).

Which is greater, \(\tfrac{1}{5}\) or \(\tfrac{1}{9}\)?

\(\tfrac{1}{5}\) is greater, because sharing one whole among fewer people gives a larger share.

What are the numerator and denominator of \(\tfrac{3}{4}\)?

The numerator is 3 (the parts taken) and the denominator is 4 (the equal parts the whole is divided into).

How do you get an equivalent fraction?

Multiply or divide both the numerator and the denominator by the same non-zero number.

What is the simplest form of \(\tfrac{6}{8}\)?

\(\tfrac{3}{4}\), obtained by dividing numerator and denominator by 2.

What is a mixed number?

A number made of a whole number part and a proper fraction, such as \(2\tfrac{1}{3}\).

How do you convert \(2\tfrac{1}{3}\) to an improper fraction?

Multiply the whole part by the denominator and add the numerator: \(2\tfrac{1}{3} = \tfrac{7}{3}\).

How do you add two fractions with the same denominator?

Add the numerators and keep the common denominator, e.g. \(\tfrac{2}{5} + \tfrac{1}{5} = \tfrac{3}{5}\).

How do you add fractions with different denominators?

Rewrite them as equivalent fractions with a common denominator, then add the numerators.

CBSE Class 6 Annual Assessment

Q: What are equivalent fractions?

Different fractions that represent the same amount, such as \(\tfrac{1}{2} = \tfrac{2}{4} = \tfrac{3}{6}\).

Annual assessment for Class 6 students under CBSE, covering core subjects like Mathematics, Science, Social Science, English, and Hindi, focusing on foundational knowledge and skills.

Fractions — Class 6 Mathematics

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Mathematics · 10 chapters

Summary, key terms, important questions and a practice quiz with AI diagnosis for each.

CBSE Class 6Mathematics Ganita Prakash

Chapter 7: Fractions

Summary

This chapter develops fractions as equal shares. When one whole is divided into equal parts, each part is a fractional unit, such as \(\tfrac{1}{2}, \tfrac{1}{3}, \tfrac{1}{4}, \tfrac{1}{5}\); the more parts the whole is split into, the smaller each share, so \(\tfrac{1}{9} < \tfrac{1}{5}\). A fraction \(\tfrac{a}{b}\) has a numerator \(a\) and denominator \(b\), and fractions can be shown on the number line. The chapter explains equivalent fractions \u2014 different fractions that represent the same amount, such as \(\tfrac{1}{2} = \tfrac{2}{4} = \tfrac{3}{6}\) \u2014 obtained by multiplying or dividing numerator and denominator by the same number, and shows how to reduce a fraction to its simplest form. Fractions are compared by making denominators equal. Mixed numbers like \(2\tfrac{1}{3}\) are converted to and from improper fractions. Finally, the chapter teaches adding and subtracting fractions: like fractions are added directly, while unlike fractions are first rewritten with a common denominator. Real-life sharing situations with rotis and lengths run throughout to keep the meaning of fractions concrete.

Fractional Units and Equal SharesFractions on the Number LineEquivalent Fractions and Simplest FormComparing FractionsMixed and Improper FractionsAdding and Subtracting Fractions

Key terms

Fraction

A number \(\dfrac{a}{b}\) representing equal parts of a whole, with numerator \(a\) and denominator \(b\).

Fractional unit

One equal part of a whole, such as \(\tfrac{1}{2}, \tfrac{1}{3}\) or \(\tfrac{1}{4}\).

Numerator and denominator

In \(\dfrac{a}{b}\), \(a\) is the numerator (parts taken) and \(b\) is the denominator (equal parts of the whole).

Equivalent fractions

Different fractions that represent the same value, e.g. \(\tfrac{1}{2} = \tfrac{2}{4} = \tfrac{3}{6}\).

Mixed number

A number with a whole part and a fractional part, such as \(2\tfrac{1}{3}\).

Like fractions

Fractions having the same denominator, which can be added or subtracted directly.

Important questions

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Fraction

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A number \(\dfrac{a}{b}\) representing equal parts of a whole, with numerator \(a\) and denominator \(b\).

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Practice quiz · Fractions

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Fractions

Maths 10 Qs · ~10 min