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Write these fractions appropriately as additions or subtractions:

Solution: (a) Total number of parts each rectangle has = 5 Number of shaded parts in first rectangle = 1 i.e 1 / 5 Number of shaded parts in... View Article

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?

Given Total number of students in Class A = 25 Students passed in first class in Class A = 20 Total number of students in Class B = 30... View Article

Rafiq exercised for 3 / 6 of an hour, while Rohit exercised for 3 / 4 of an hour. Who exercised for a longer time?

Given Rafiq exercised = 3 / 6 of an hour Rohit exercised = 3 / 4 of an hour Find out We have to determine Who exercised for a longer time... View Article

Ila read 25 pages of a book containing 100 pages. Lalita read 2 / 5 of the same book. Who read less?

Given Total number of pages a book has = 100 pages Number of pages read by Ila= 25 The same book read by Lalita= 2/5 Find out We have to... View Article

Find answers to the following. Write and indicate how you solved them. (a) Is 5 / 9 equal to 4 / 5 (b) Is 9 / 16 equal to 5 / 9 (c) Is 4 /5 equal to 16 / 20 (d) Is 1 / 15 equal to 4 / 30

Solution (a) 5 / 9, 4 / 5 Let us convert the given fractions into like fractions Will multiply first fraction by 5/5 5 / 9 = (5 / 9) ×... View Article

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form. (a) 2 / 12 (b) 3 / 15 (c) 8 / 50 (d) 16 / 100 (e) 10 / 60 (f) 15 / 75 (g) 12 / 60 (h) 16 / 96 (i) 12 / 75 (j) 12 / 72 (k) 3 / 18 (l) 4 / 25

Solution (a)2 / 12 The given fraction can be simplified as = (1 × 2) / (6 × 2) = 1 / 6 (b) 3 / 15 The given fraction can be... View Article

How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’) (a) 1 / 2 ☐ 1 / 5 (b) 2 / 4 ☐ 3 / 6 (c) 3 / 5 ☐ 2 / 3 (d) 3 / 4 ☐ 2 / 8 (e) 3 / 5 ☐ 6 / 5 (f) 7 / 9 ☐ 3 / 9 (g) 1 / 4 ☐ 2 / 8 (h) 6 / 10 ☐ 4 / 5 (i) 3 / 4 ☐ 7 / 8 (j) 6 / 10 ☐ 3 / 5 (k) 5 / 7 ☐ 15 / 21

Solution (a) 1 / 2 ☐ 1 / 5 In the given expression, the numerators are same. So, the fraction having lesser denominator is the greater... View Article

Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

(a) 1 / 6 ☐ 1 / 3 (b) 3 / 4 ☐ 2 / 6 (c) 2 / 3 ☐ 2 / 4 (d) 6 / 6 ☐ 3 / 3 (e) 5 / 6 ☐ 5 / 5 Solution: (a)1 / 6 ☐ 1 / 3 In the given... View Article

Compare the fractions and put an appropriate sign. (a) 3 / 6 ☐ 5 / 6 (b) 1 / 7 ☐ 1 / 4 (c) 4 / 5 ☐ 5 / 5 (d) 3 / 5 ☐ 3 / 7

Solution Both the fractions have common denominators. So, the fraction with the greater numerator is the highest factor ∴ 3/6 < 5/6 Let... View Article

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘’ between the fractions:

(c) Show 2 / 6, 4 / 6, 8 / 6 and 6 / 6 on the number line. Put appropriate signs between the fractions given. 5 / 6 ☐ 2 / 6, 3 / 6 ☐ 0, 1 / 6... View Article

Match the equivalent fractions and write two more for each. (i) 250 / 400 (a) 2 / 3 (ii) 180 / 200 (b) 2 / 5 (iii) 660 / 990 (c) 1 / 2 (iv) 180 / 360 (d) 5 / 8 (v) 220 / 550 (e) 9 / 10

Column A Column B (i) 250 / 400 (a) 2 / 3 (ii) 180 / 200 (b) 2 / 5 (iii) 660 / 990 (c) 1 / 2... View Article

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?

Given Total number of pencils Ramesh had = 20 Total number of pencils Sheelu had = 50 Total number of pencils Jamaal had = 80 Find out We... View Article

Reduce the following fractions to simplest form: (a) 48 / 60 (b) 150 / 60 (c) 84 / 98 (d) 12 / 52 (e) 7 / 28

Solution (a)48 / 60 On simplifying the numerator and denominator by 12 we get, = 4 / 5 (b) 150 / 60 = On simplifying the... View Article

Check whether the given fractions are equivalent: (a) 5 / 9, 30 / 54 (b) 3 / 10, 12 / 50 (c) 7 / 13, 5 / 11

Solution (a) The given fractions are 5 / 9 and 30 / 54 We have 5× 54 = 270 9 × 30 = 270 5 × 54 = 9 × 30 Therefore... View Article

Find the equivalent fraction of 36 / 48 with (a) numerator 9 (b) denominator 4

Solution (a) Given that numerator = 9 ∴ 9 / D = 36 / 48 D × 36 = 9 × 48 D = (9 × 48) / 36 D = 12 Hence, the equivalent fraction is 9/12... View Article

Find the equivalent fraction of 3 / 5 having (a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27

Solution (a) We need the denominator as 20 Let the numerator of the fractions be =M ∴ M / 20 = 3 / 5 5 × M = 20 × 3... View Article

Replace ☐ in each of the following by the correct number: (a) 2 / 7 = 8 / ☐ (b) 5 / 8 = 10 / ☐ (c) 3 / 5 = ☐ / 20 (d) 45 / 60 = 15 / ☐ (e) 18 / 24 = ☐ / 4

Solution Solutions: (a) Given that 2 / 7 = 8 / ☐ On cross multiplying and simplifying we get 2 × ☐ = 7 × 8 ☐ =... View Article