The cost of a pen is ₹ 6 2 3 and that of a pencil is ₹ 4 1 6 . Which costs more and by how much?

Cost of a pen = ₹ 6 2 3 = ₹ 20 3 Cost of a pencil = ₹ 4 1 6 = ₹ 25 6 -- 1 Converting the above fraction into like fraction i.e. Cost of a pen = 20 × 2 3 × 2 = 40 6 -- 2 Now, when the denominators are same, we compare the numerators. From ( 1 ) and ( 2 ) we know, 25 < 40 ⇒ 25 6 < 40 6 ⇒ 4 1 6 < 6 2 3 Thus, cost of a pen is more. Now, the cost of a pen is more by 40 6 - 25 6 = 40 - 25 6 = 5 2 = 2 1 2 Hence, a pen costs more than a pencil by ₹ 2 1 2 .

Arrange the fractions in ascending order: 13 18 , 8 15 , 17 24 , 7 12

The given fractions are 13 18 , 8 15 , 17 24 , 7 12 Fractions can be compared by converting them into like fractions and then arranging them in ascending or descending order. LCM of 18 , 15 , 24 , 12 is 360 . Thus we convert all the denominators equivalent to the LCM of denominators. Now, 13 18 = 13 × 20 18 × 20 = 260 360 8 15 = 8 × 24 15 × 24 = 192 360 17 24 = 17 × 15 24 × 15 = 255 360 7 12 = 7 × 30 12 × 30 = 210 360 We know, 192 < 210 < 255 < 260 ⇒ 192 360 < 210 360 < 255 360 < 260 360 ⇒ 8 15 < 7 12 < 17 24 < 13 18 Hence, the following fractions in ascending order is 8 15 < 7 12 < 17 24 < 13 18 .

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Mathematics for Class 6>Chapter 6 - Fractions>CCE CHAPTER TEST

R. D. Sharma Solutions for Chapter: Fractions, Exercise 11: CCE CHAPTER TEST

Author:R. D. Sharma

R. D. Sharma Mathematics Solutions for Exercise - R. D. Sharma Solutions for Chapter: Fractions, Exercise 11: CCE CHAPTER TEST

Attempt the practice questions on Chapter 6: Fractions, Exercise 11: CCE CHAPTER TEST with hints and solutions to strengthen your understanding. Mathematics for Class 6 solutions are prepared by Experienced Embibe Experts.