CBSE Class 6 Mathematics Fractions Assignment Set 09

Question. A teacher has 25 pieces of chalks. She has given \( \frac{4}{5}^{\text{th}} \) of chalks to another teacher. How many chalks she has given?
Answer: 20

Question. What fraction of 25 cm of a meter?
Answer: \( \frac{1}{4} \)

Question. Write two equivalent fractions of \( \frac{4}{7} \).
Answer: \( \frac{8}{14}, \frac{12}{21} \)

Question. Are the following fractions equivalent?
(i) \( \frac{3}{5} \) and \( \frac{9}{10} \)
(ii) \( \frac{4}{7} \) and \( \frac{20}{35} \)
Answer: (i) No, (ii) Yes

Question. Reduce in lowest term
(i) \( \frac{169}{299} \)
(ii) \( \frac{144}{216} \)
Answer: (i) \( \frac{13}{23} \), (ii) \( \frac{2}{3} \)

Question. You are given the prime numbers in the set of natural numbers from 1 to 20. What fraction of even number are there?
Answer: \( \frac{1}{8} \)

Question. Write a fraction whose numerator is 13 and denominator is 20
Answer: \( \frac{13}{20} \)

Question. Write all fractions in such a way that the sum of its numerator and denominator is 12. (ie. in the form of \( \frac{a}{b} \), \( b > a \))
Answer: \( \frac{1}{11}, \frac{2}{10}, \frac{3}{9}, \frac{4}{8}, \frac{5}{7} \)

Question. Write any 4 fraction such that the denominator is 5 more than the numerator
Answer: \( \frac{1}{6}, \frac{2}{7}, \frac{3}{8}, \frac{4}{9} \)

Question. Mark the following fractions on the number line.
\( \frac{1}{4} \), \( \frac{3}{5} \), \( \frac{4}{5} \), \( \frac{8}{5} \)
Answer: To represent these on a number line, plot the points at \( \frac{1}{4} = 0.25 \), \( \frac{3}{5} = 0.6 \), \( \frac{4}{5} = 0.8 \), and \( \frac{8}{5} = 1.6 \).

Question. Change the following fractions as mixed fraction
\( \frac{20}{3} \), \( \frac{17}{2} \), \( \frac{21}{5} \), \( \frac{27}{7} \)
Answer: \( 6\frac{2}{3}, 8\frac{1}{2}, 4\frac{1}{5}, 3\frac{6}{7} \)

Question. Change the mixed fraction as improper fraction
\( 2\frac{3}{5} \), \( 7\frac{1}{5} \), \( 4\frac{5}{7} \), \( 7\frac{3}{4} \)
Answer: \( \frac{13}{5}, \frac{36}{5}, \frac{33}{7}, \frac{31}{4} \