Extra Questions for Class 6 Maths Chapter -7 Fractions

Extra Questions for Class 6 Maths Chapter -7 Fractions

Q1. Write the fraction for the shaded parts in the given figures:

(a) 3 shaded parts out of 7
(b) 5 shaded parts out of 12
(c) 9 shaded parts out of 15
(d) 6 shaded parts out of 20
(e) 11 shaded parts out of 25

दी गई आकृतियों में रंगे हुए भाग का भिन्न लिखिए :
(a) 7 में से 3 भाग
(b) 12 में से 5 भाग
(c) 15 में से 9 भाग
(d) 20 में से 6 भाग
(e) 25 में से 11 भाग

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Q2. Write equivalent fractions of the given fractions (any two each):
दिए गए भिन्नों के दो-दो समतुल्य भिन्न लिखिए :

(a) $\tfrac{2}{3}$

$\frac{\mathrm{<span\; style="font-family:\; "Noto\; Sans\; Devanagari";\; font-size:\; large;"><br></span>}}{}$(b) $\tfrac{3}{5}$

(c) $\frac{4}{7}$

(d) $\tfrac{5}{9}$

(e) $\tfrac{7}{11}$

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Q3. Reduce to lowest terms:
लघुत्तम रूप में लिखिए :

(a) $\tfrac{12}{18}$

(b) $\frac{25}{45}$

(c) $\tfrac{14}{42}$

(d) $\tfrac{63}{81}$

(e) $\tfrac{36}{48}$

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Q4. Compare the fractions (write <, > or =):
 तुलना कीजिए (<, >, = चिन्ह लगाइए) :

(a) $\tfrac{3}{4}$ ___ $\frac{5}{6}$

(b) $\tfrac{7}{8}$ ___ $\tfrac{11}{12}$

(c) $\tfrac{5}{9}$ ___ $\tfrac{7}{12}$

(d) $\tfrac{13}{20}$ ___ $\tfrac{3}{5}$

(e) $\tfrac{8}{15}$ ___ $\tfrac{4}{9}$

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Q5. Write mixed fractions for:
मिश्र भिन्न में बदलें :

(a) $\tfrac{17}{5}$

(b) $\tfrac{29}{6}$

(c) $\tfrac{41}{8}$

(d) $\tfrac{55}{9}$

(e) $\tfrac{73}{12}$

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Q6. Write improper fractions for:
भिन्न में बदलें :

(a) 3$\frac{2}{5}$ 

(b) 4$\tfrac{1}{3}$ 

(c) 5$\tfrac{3}{4}$ 

(d) 6$\tfrac{2}{7}$ 

(e) 7$\tfrac{5}{6}$

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Q7. Arrange in ascending order:

(a) $\tfrac{2}{5}, \tfrac{3}{7}, \tfrac{4}{9}$

(b) $\tfrac{7}{8}, \tfrac{9}{10}, \tfrac{11}{12}$

(c) $\tfrac{3}{4}, \tfrac{2}{3}, \tfrac{5}{6}$

(d) $\tfrac{1}{2}, \tfrac{5}{8}, \tfrac{7}{10}$

(e) $\tfrac{5}{12}, \tfrac{7}{18}, \tfrac{11}{24}$

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Q8. Find reciprocals of:

(a) $\tfrac{3}{7}$

(b) $\tfrac{9}{11}$

(c) $\tfrac{5}{8}$

(d) $\tfrac{7}{13}$

(e) $\tfrac{10}{17}$

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Q9. Add the fractions:

(a) $\tfrac{2}{5} + \tfrac{3}{10}$

(b) $\tfrac{7}{8} + \tfrac{5}{16}$

(c) $\tfrac{4}{9} + \tfrac{2}{3}$

(d) $\tfrac{3}{7} + \tfrac{5}{14}$

(e) $\tfrac{11}{12} + \tfrac{7}{18}$

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Q10. Subtract the fractions:

(a) $\tfrac{5}{6} - \tfrac{2}{9}$

(b) $\tfrac{7}{8} - \tfrac{3}{16}$

(c) $\tfrac{9}{10} - \tfrac{7}{20}$

(d) $\tfrac{11}{12} - \tfrac{5}{18}$

(e) $\tfrac{13}{15} - \tfrac{2}{25}$

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Q11. Multiply the fractions:

(a) $\tfrac{2}{3} \times \tfrac{3}{5}$

(b) $\tfrac{4}{7} \times \tfrac{14}{9}$

(c) $\tfrac{5}{8} \times \tfrac{12}{25}$

(d) $\tfrac{7}{11} \times \tfrac{22}{35}$

(e) $\tfrac{3}{10} \times \tfrac{15}{21}$

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Q12. Divide the fractions:

(a) $\tfrac{7}{9} \div \tfrac{14}{27}$

(b) $\tfrac{5}{6} \div \tfrac{10}{18}$

(c) $\tfrac{11}{12} \div \tfrac{22}{36}$

(d) $\tfrac{13}{15} \div \tfrac{26}{45}$

(e) $\tfrac{17}{20} \div \tfrac{34}{50}$

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Q13. Simplify:

(a) $\tfrac{2}{7} + \tfrac{3}{14} - \tfrac{1}{21}$

(b) $\tfrac{5}{12} + \tfrac{7}{18} - \tfrac{2}{9}$

(c) $\tfrac{4}{15} + \tfrac{3}{10} - \tfrac{1}{6}$

(d) $\tfrac{7}{20} + \tfrac{3}{25} - \tfrac{2}{10}$

(e) $\tfrac{9}{16} + \tfrac{5}{24} - \tfrac{1}{12}$

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Q14. Word Problems (Fractions of whole numbers):

(a) Out of 24 students, $\tfrac{3}{4}$ like Maths. How many students like Maths?

(b) A rope is 20 m long. If $\tfrac{2}{5}$ is used, how much is left?

(c) A basket has 45 apples. $\tfrac{2}{9}$ are rotten. How many are good?

(d) A man spends $\tfrac{3}{10}$ of his salary on rent and $\tfrac{2}{5}$ on food. What fraction of salary is left?

(e) A tank holds 800 litres of water. If $\tfrac{5}{8}$ is filled, how many litres are in the tank?

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Q15. Word Problems (Comparing Fractions):

(a) Meena walked $\tfrac{2}{3}$ km and Sita walked $\tfrac{3}{4}$ km. Who walked more?
(b) A boy ate $\tfrac{5}{12}$ of a cake and another ate $\tfrac{7}{18}$. Who ate more?
(c) Ramesh drank $\tfrac{3}{5}$ litre of juice and Suresh drank $\tfrac{4}{7}$ litre. Who drank more?
(d) Out of 40 pages, Anu read $\tfrac{3}{8}$ and Priya read $\tfrac{1}{4}$. Who read more?
(e) Compare the fractions $\tfrac{7}{10}$ and $\tfrac{2}{3}$.