1. Write the fraction representing the shaded portion:

Size: px

Start display at page:

Download "1. Write the fraction representing the shaded portion:"

Tyrone Mitchell
5 years ago
Views:

1 Class VI Mathematics (Ex. 7.) Questions. Write the fraction representing the shaded portion:. Colour the part according to the given fraction:. Identify the error, if any?

2 . What fraction of a day is hours?. What fraction of an hour is 0 minutes?. Arya, Abhimanyu and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich. (a)how can Arya divide his sandwiches so that each person has an equal share? (b)what part of a sandwich will each boy receive? 7. Kanchan dyes dresses. She had to dye 0 dresses. She has so far finished 0 dresses. What fraction of dresses has she finished?. Write the natural numbers from to. What fraction of them are prime numbers? 9. Write the natural numbers from 0 to. What fraction of them are prime numbers? 0. What fraction of these circles have X s in them?. Kristin received a CD player for her birthday. She bought CDs and received others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

3 Class VI Mathematics (Ex. 7.) Answers. (i) (v) (ix) 7 (ii) (vi) (x) 9 (iii) (vii) 0 0 (iv) (viii) 9. Sol.. All the figures are not equally divided. For making fractions, it is necessary that figure is to be divided in equal parts.. Since, day hours. Therefore, the fraction of hours. Since, hour 0 minutes. Therefore, the fraction of 0 minutes 0 0. (a) Arya will divide each sandwich into three equal parts and give one part of each sandwich to each one of them. (b) 7. Total number of dresses 0

4 Work finished 0 Fraction of finished work 0 0. Natural numbers from to :,,,,, 7,, 9, 0,, Prime numbers from to :,,, 7, Hence, fraction of prime numbers 9. Natural numbers from 0 to : 0, 0, 0, 0, 0, 07, 0, 09, 0,,, Prime numbers from 0 to : 0, 07, 09, Hence fraction of prime numbers 0. Total number of circles and number of circles having X Hence, the fraction. Total number of CDs + Number of CDs purchased Fraction of CDs purchased Fraction of CDs received as gifts

5 Class VI Mathematics (Ex. 7.) Questions. Draw number lines and locate the points on them: (a),,, (b),,, 7 (c),,,. Express the following fractions as mixed fractions: (a) 0 (b) (c) 7 7 (d) (e) 9 (f) 9. Express the following as improper fractions: (a) 7 (b) 7 (c) (d) 0 (e) 9 7 (f) 9

6 Class VI Mathematics (Ex. 7.) Answers. (a) (b) (c). (a) (c) 7 (e) 0 (b) (d) (f) ( ) ( ) (a) 7 (b) ( ) ( 0 ) (c) (d) 0 ( ) ( ) (e) 9 (f)

$Class VI Mathematics (Ex. 7.) Questions. Write the fractions. Are all these fractions equivalent: (a) (b). Write the fraction and pair up the equivalent fractions to each row:.$

7 Class VI Mathematics (Ex. 7.) Questions. Write the fractions. Are all these fractions equivalent: (a) (b). Write the fraction and pair up the equivalent fractions to each row:. Replace in each of the following by the correct number: (a) 0 (b) 7 (c) 0 (d) (e) 0. Find the equivalent fraction of having: (a) denominator 0 (b) numerator 9 (c) denominator 0 (d) numerator 7. Find the equivalent fraction of with: (a) numerator 9 (b) denominator

8 . Check whether the given fraction are equivalent: (a), 0 (b), Reduce the following fractions to simplest form: (a) (b) 0 (c) (c) 7, (d) 7 (e). Ramesh had 0 pencils, Sheelu had 0 pencils and Jamaal had 0 pencils. After months, Ramesh used up 0 pencils, Sheelu used up pencils and Jamaal used up 0 pencils. What fraction did each use up? Check is each has used up an equal fraction of her/his pencils? 9. Match the equivalent fractions and write two more for each: (i) (ii) (iii) (iv) (v) (a) (b) (c) (d) (e) 9 0

9 Class VI Mathematics (Ex. 7.) Answers. (a),,, Yes, all of these fractions are equivalent. (b),,,, 9 No, these fractions are not equivalent.. (a) (b) (c) 9 (d) (e) (ii) (iv) (i) (v). (a) 7 7 (d) (iii) (b) 0 (e). (a) 0 (c) 0 9. (a). (a), 0 0, 9 9 Therefore,, 0 are equivalent. 9 (b),, (b) 9 (d) (b) 0 0,, 0 0 (c) 0

10 Therefore,, 0 0 (c) 7, are not equivalent. 7, Therefore, 7, are not equivalent fraction. 7. (a) 0 (c) (e) 77, (b) (d) Ramesh: Total pencils 0 Pencils used 0 Fraction 0 0 Sheelu: Total pencils 0 Pencils used Fraction 0 Jamaal: Total pencils 0 Pencils used 0 Fraction 0 0 Since, all of them used half of their pencils, therefore each one used up equal fraction of pencils. 9. (i) (ii) (iii) (iv) (v) ,, (d) 9 7,, (e) ,, (a) 9,, (c),, (b) 0

$Class VI Mathematics (Ex. 7.) Questions. Write shaded portion as fraction.$ $on the number line. Put appropriate signs between the fractions given:, 0,,.$

11 Class VI Mathematics (Ex. 7.) Questions. Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign <, >, between the fractions: (a) (b) (c) Show,, and on the number line. Put appropriate signs between the fractions given:, 0,,. Compare the fractions and put an appropriate sign: (a) (b) (c) (d) 7 7. Make five more each pairs and put appropriate signs.. Look at the figures and write < or > between the given pairs of fractions:

12 (a) (d) (b) (e) (c) Make five more such problems and solve them with your friends.. How quickly can you do this? Fill appropriate sign (<,, >): (a) (b) (c) (d) (g) (j) 0 (e) (h) 0 (k) 7 (f) (i) 7. 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) (b) (c) (d) (e) 0 (f) (g) (h) (i) (j) (k) (l) Find answers to the following. Write and indicate how you solved them: (a) Is 9 equal to 9? (b) Is equal to 9? (c) Is equal to? (d) Is equal to 0 0?. Ila read pages of a book containing 00 pages. Lalita read of the same book. Who read less? 9. Rafiq exercised for of an hour, while Rohit exercised for of an hour. Who exercised for a longer time? 0. In a class A of students, 0 passed in first class; in another class B of 0 students, passed in first class. In which class was a greater fraction of students getting first class?

13 Class VI Mathematics (Ex. 7.) Answers. (a),,, Ascending order: Descending order: (b),,, Ascending order: Descending order: (c) Number line < < < > > > < < < > > > >. (a). (a) (e) > 9 < < (b) > (b) 0 > > < (c) < (d) > 7 7 > (c) < (d) 7 <. (a) < (b) > (c) > (d) (e) < Five more such problems: (a) (e) 0 0 Sol. (a) (b) (b) > (c) (c) > (d) (d) <

14 (e) 0 0. (a) > (e) < (i) < 7. (a) (e) 0 0 (i) 7 (b) (b) (f) 7 > 9 9 (j) < 0 (f) 7 (j) 7 Equivalent groups: I group: (iii) group: 7. (a) 9 and Since, Therefore, (b) 9 and 9 (c) Since, Therefore, and 0 Since, Therefore, (d) and 0 9 [(b), (f), (g)] (c) (c) < (g) (k) 7 0 (g) 0 (k) [(c), (d), (i), (l)] II group: and and and and 0 (d) (d) > (h) < 0 00 (h) 9 (l) 0 0 [(a), (e), (h), (j), (k)] [ L.C.M. of 9 and is ] [ L.C.M. of and 9 is ] [ L.C.M. of and 0 is 00] [ L.C.M. of and 0 is 0]

15 Since, Therefore, Ila read pages out of 00 pages. Fraction of reading the pages 00 th part of book Lalita read 0 th part of book 00 pages Since < Therefore, Ila read less. 9. Rafiq exercised Rohit exercised of an hour. of an hour. Since > Therefore, Rohit exercised for a longer time. 0. In class A, 0 passed out of, i.e., 0 In class B, passed out of 0, i.e., 0 Hence, each class have same fraction of student getting first class.

$Class VI Mathematics (Ex. 7.) Questions. Write the fractions appropriately as additions or subtractions{. Solve: (a) + (b) + (c) 7 (d) + 7 7 (e) 7 (f) + (g) (i) (h) + 0.$

16 Class VI Mathematics (Ex. 7.) Questions. Write the fractions appropriately as additions or subtractions{. Solve: (a) + (b) + (c) 7 (d) (e) 7 (f) + (g) (i) (h) + 0. Shubham painted of the wall space in his room. His sister Madhavi helped and painted of the wall space. How much did they paint together?. Fill in the missing fractions: (a) 7 (b) 0 0 (c) (d) Javed was given of a basket of oranges. What fraction of oranges was left in the basket?

17 Class VI Mathematics (Ex. 7.) Answers. (a) + + (b) (c) + +. (a) + + (b) (c) 7 7 (d) (e) (f) + (g) (h) (i). Fraction of wall painted by Shubham Fraction of wall painted by Madhavi Total painting by both of them + + Therefore, they painted complete wall.. (a) 0. Total (b) Fraction of Orange left 7 (c) (d) Thus, 7 oranges was left in the basket.

18 . Solve: Class VI Mathematics (Ex. 7.) Questions (a) + (b) + 7 (c) + (d) (e) + (f) + (g) (h) (i) + + (j) + + (k) (m) 7 (n) + (l) +. Sarika bought meter of ribbon and Lalita meter of ribbon. What is the total length of the ribbon they bought?. Naina was given piece of cake and Najma was given piece of cake. Find the total amount of cake given to both of them.. Fill in the boxes: (a) (b) (c). Complete the addition subtraction box:. A piece of wire 7 meter long broke into two pieces. One piece was meter long. How long is the other piece? 7. Nandini house is 9 0 km from her school. She walked some distance and then took a bus for km to reach the school. How far did she walk?. Ahsa and Samuel have bookshelves of the same size partly filled with books. Asha s shelf is th full and Samuel s shelf is th full. Whose bookshelf is more full? By what fraction? 9. Jaidev takes minutes to walk across the school ground. Rahul takes 7 minutes to do same. Who takes less time and by what fraction?

19 Class VI Mathematics (Ex. 7.) Answers. (a) L.C.M. of and 7 is (b)l.c.m. of 0 and is (c)l.c.m. of 9 and 7 is (d)l.c.m. of 7 and is (e)l.c.m. of and is (f) L.C.M. of and is (g)l.c.m. of and is 9 (h)l.c.m. of and is (i) L.C.M. of, and is (j) L.C.M. of,, and is (k)l.c.m. of and is + + (l) L.C.M. of and is

20 (m) L.C.M. of and is (n)l.c.m. of and is. Ribbon bought by Sarita m and Ribbon bought by Lalita m Total length of ribbon m Therefore, they bought m of ribbon. 0 [ L.C.M. of and is 0]. Cake taken by Naina piece and Cake taken by Najma piece Total cake taken Therefore total consumption of cake is. [ L.C.M. of and is ]. (a) (b) (c) 0 0. Sol.. Total length of wire 7 meter

21 Length of first part meter Remaining part 7 7 [ L.C.M. of and is ] 7 meter Therefore, the length of remaining part is meter. 7. Total distance between school and house 9 0 km Distance covered by bus km Remaining distance 9 9 [ L.C.M. of 0 and is 0] km 0 0 Therefore, distance covered by walking us km.. and and 0 0 [ L.C.M. of and is 0] > > 0 0 Asha s bookshelf is more covered than Samueal. Difference Time taken by jaidev minutes minutes Time taken by Rahul 7 minutes Difference minutes 0 0 Thus, Rahul takes less time, which is 9 0 minutes. [ L.C.M. of and is 0]

NCERT solution for Fractions-3

NCERT solution for Fractions-3 1 Exercise 7.5 Question 1 Write these fractions appropriately as additions or subtractions: (c) a) First fraction 1/5 Second Fraction 2/5 1/5 + 2/5= 3/5 Addition Third Fraction