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(a) \(\frac{2}{12} \)

(b) \(\frac{3}{15} \)

(c) \(\frac{8}{50} \)

(d) \(\frac{16}{100} \)

(e) \(\frac{10}{60} \)

(f) \(\frac{15}{75} \)

(g) \(\frac{12}{60} \)

(h) \(\frac{16}{96} \)

(i) \(\frac{12}{75} \)

(j) \(\frac{12}{72} \)

(k) \(\frac{3}{18} \)

(l) \(\frac{4}{25} \)

Answer :

(a) \(\frac{2}{12} = \frac{2÷2}{12÷2} = \frac{1}{6} \)

(b) \(\frac{3}{15} = \frac{3÷3}{15÷3} = \frac{1}{5} \)

(c) \(\frac{8}{50} = \frac{8÷2}{50÷2} = \frac{4}{25} \)

(d) \(\frac{16}{100} = \frac{16÷4}{100÷4} = \frac{4}{25} \)

(e) \(\frac{10}{60} = \frac{10÷10}{60÷10} = \frac{1}{6} \)

(f) \(\frac{15}{75} = \frac{15÷15}{75÷15} = \frac{1}{5} \)

(g) \(\frac{12}{60} = \frac{12÷12}{60÷12} = \frac{1}{5} \)

(h) \(\frac{16}{96} = \frac{16÷16}{196÷16} = \frac{1}{6} \)

(i) \(\frac{12}{75} = \frac{12÷3}{75÷3} = \frac{4}{25} \)

(j) \(\frac{12}{72} = \frac{12÷12}{72÷12} = \frac{1}{6} \)

(k)\(\frac{3}{18} = \frac{3÷3}{18÷3} = \frac{1}{6} \)

(l) \(\frac{4}{25} \)

Totally there are 3 groups of equivalent fractions.

\(\frac{1}{6} \)= (a), (e), (h), (j), (k)

\(\frac{1}{5} \) = (b), (f), (g)

\(\frac{4}{25} \) = (c), (d), (i), (l)

- Q.1 Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘’ between the fractions: (c) Show\(\frac{2}{6} , \frac{4}{6} , \frac{8}{6} and \frac{6}{6} \) on the number line. Put appropriate signs between the fractions given. \(\frac{5}{6} \square \frac{2}{6} , \frac{3}{6} \square 0, \frac{1}{6} \square \frac{6}{6} , \frac{8}{6} \square \frac{5}{6}
- Q.2 Compare the fractions and put an appropriate sign. (a)\( \frac{3}{6} \square \frac{5}{6} \) (b) \( \frac{1}{7} \square \frac{1}{4} \) (c) \( \frac{4}{5} \square \frac{5}{5} \) (d)\( \frac{3}{5} \square \frac{3}{7} \)
- Q.3 Make five more such pairs and put appropriate signs.
- Q.4 Look at the figures and write ’’ ’=’ between the given pairs of fractions. (a) \(\frac{1}{6} \square \frac{1}{3} \) (b) \(\frac{3}{4} \square \frac{2}{6} \) (c) \(\frac{2}{3} \square \frac{2}{4} \) (d) \(\frac{6}{6} \square \frac{3}{3} \) (e) \(\frac{5}{6} \square \frac{5}{5} \)
- Q.5 How quickly can you do this? Fill appropriate sign. ( ‘’) (a) \(\frac{1}{2} \square \frac{1}{5} \) (b) \(\frac{2}{4} \square \frac{3}{6} \) (c) \(\frac{3}{5} \square \frac{2}{3} \) (d) \(\frac{3}{4} \square \frac{2}{8} \) (e) \(\frac{3}{5} \square \frac{5}{5} \) (f) \(\frac{7}{9} \square \frac{3}{9} \) (g) \(\frac{1}{4} \square \frac{2}{8} \) (h) \(\frac{6}{10} \square \frac{4}{5} \) (i) \(\frac{3}{4} \square \frac{7}{8} \) (j) \(\frac{6}{10} \square \frac{3}{5} \) (k) \(\frac{5}{7} \square \frac{15}{21} \)
- Q.7 Find answers to the following. Write and indicate how you solved them. (a) Is \(\frac{5}{9} \) equal to \(\frac{4}{5} \) (b) Is \(\frac{9}{16} \) equal to \(\frac{5}{9} \) (c) Is \(\frac{4}{5} \) equal to \(\frac{16}{20} \) (d) Is \(\frac{1}{15} \) equal to \(\frac{4}{30} \)
- Q.8 Ila read 25 pages of a book containing 100 pages. Lalita read \(\frac{2}{5} \) of the same book. Who read less?
- Q.9 Rafiq exercised for \(\frac{3}{6} \)of an hour, while Rohit exercised for \(\frac{3}{4} \) of an hour. Who exercised for a longer time?
- Q.10 In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

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