{"id":25748,"date":"2021-06-24T10:50:58","date_gmt":"2021-06-24T05:20:58","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=25748"},"modified":"2021-06-24T10:52:16","modified_gmt":"2021-06-24T05:22:16","slug":"ncert-solutions-for-class-6-maths-chapter-7-ex-7-4","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-6-maths-chapter-7-ex-7-4\/","title":{"rendered":"NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4"},"content":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths<\/a> Chapter 7 Fractions Ex 7.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.4<\/h2>\n

Question 1.
\nWrite shaded portion as fraction. Arrange them in ascending and descending order using correct sign \u2018<‘, \u2018>’ between the fractions:
\n\"NCERT
\n(c) Show \\(\\frac{2}{6}, \\frac{4}{6}, \\frac{8}{6}, \\frac{6}{6}\\) on the number line. Put appropriate signs between the fractions given.
\n\"\"
\nAnswer:
\nThe fractions represented by the shaded portions are as follows:
\n(a) \\(\\frac{3}{8}, \\frac{6}{8}, \\frac{4}{8}, \\frac{1}{8}\\)
\n(b) \\(\\frac{8}{9}, \\frac{4}{9}, \\frac{6}{9}, \\frac{6}{9}\\)
\nWhen we compare two fractions
\nNote:
\nLike Fractions: If the denominator is same, the fraction with the greater numerator is greater.
\nUnlike Fractions: If the denominator is not same, we first get their equivalent fractions with a denominator which is the L.C.M of the denominators of both the fractions.
\nThe above fractions in (a) and (b) are like fractions as they have the same denominator.
\nWhen comparing fractions with same denominator,
\nSo, arranging the fractions in ascending order, we have
\n(a) \\(\\frac{1}{8}<\\frac{3}{8}<\\frac{4}{8}<\\frac{6}{8}\\)
\n(b) \\(\\frac{3}{9}<\\frac{4}{9}<\\frac{6}{9}<\\frac{8}{9}\\)
\n(c) Let us represent the fractions \\(\\frac{2}{6}, \\frac{4}{6}, \\frac{8}{6}, \\frac{6}{6}\\) on the number line.
\n\"NCERT
\nAgain these comparisons are between the like fractions, so numerator will dictate the sign:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nCompare the fractions and put an appropriate sign.
\n\"NCERT
\nAnswer:
\n(a) Here, we have Tike fractions\u2019 so we compare them by their numerators only.
\n\"NCERT
\n(b) Here, we have \u2018unlike fractions\u2019 with same numerators, so we compare them with their denominators only.
\n\"NCERT
\n(c) Like fractions, so we compare by their numerators only.
\n\"NCERT
\n(d) \u2018Unlike fractions\u2019 with same nemerators so we compare them by their denominators, only.
\n\"NCERT<\/p>\n

Question 3.
\nMake five more such pairs and put appropriate signs.
\nAnswer:
\n\"NCERT<\/p>\n

Question 4.
\nLook at the figures and write ‘<\u2019 or ‘>’, ‘=\u2019 between the given pairs of fractions.
\n\"NCERT
\nMake five more such problems and solve them with you friends.
\nAnswer:
\n(a) <
\n(b) >
\n(c) >
\n(d) =
\n(e) <<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nHow quickly can you do this? Fill appropriate sign (‘<\u2019 , ‘=\u2019 , ‘>’)
\n\"NCERT
\nAnswer:<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
(a)<\/td>\nIf the numerator is same, then the smaller of the denominator fraction is bigger<\/td>\n><\/td>\n<\/tr>\n
(b)<\/td>\n\\(\\frac{2}{4}=\\frac{1}{2}\\) and \\(\\frac{3}{6}=\\frac{1}{2}\\)<\/span><\/td>\n=<\/td>\n<\/tr>\n
(c)<\/td>\nThese are unlike fractions, So, \\(\\frac{3}{5}=\\frac{9}{15}\\) and \\(\\frac{2}{3}=\\frac{10}{15}\\)<\/span><\/td>\n<<\/td>\n<\/tr>\n
(d)<\/td>\n\\(\\frac{3}{4}=\\frac{3}{4}\\) and \\(\\frac{2}{8}=\\frac{1}{4}\\)<\/span><\/td>\n><\/td>\n<\/tr>\n
(e)<\/td>\nLike fraction<\/td>\n<<\/td>\n<\/tr>\n
(f)<\/td>\nLike fraction<\/td>\n><\/td>\n<\/tr>\n
(g)<\/td>\n\\(\\frac{1}{4}=\\frac{1}{4}\\) and \\(\\frac{2}{8}=\\frac{1}{4}\\)<\/td>\n=<\/sup><\/td>\n<\/tr>\n
(h)<\/td>\n\\(\\frac{6}{10}=\\frac{3}{5}\\) and \\(\\frac{4}{5}=\\frac{4}{5}\\)<\/span><\/td>\n<<\/td>\n<\/tr>\n
(i)<\/td>\nUnlike fraction<\/td>\n<<\/td>\n<\/tr>\n
(j)<\/td>\n\\(\\frac{6}{10}=\\frac{3}{5}\\)<\/td>\n=<\/td>\n<\/tr>\n
(k)<\/td>\n\\(\\frac{5}{7}=\\frac{15}{21}\\)<\/td>\n=<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Question 6.
\nThe following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.
\nAnswer:
\nSimplifying the fractions into simplest form.
\n\"NCERT
\nTotally these are three graps of equivalent fractions 1
\n\\(\\frac { 1 }{ 6 }\\) = (i) (v) (viii) (x) (xi)
\n\\(\\frac { 1 }{ 5 }\\) = (ii) (vi) (vii)
\n\\(\\frac { 4 }{ 25 }\\) = (iii) (iv) (ix) (xii)<\/p>\n

Question 7.
\nFind answers to the following. Write and indicate how you solved them.
\n(a) Is \\(\\frac { 5 }{ 9 }\\) equal to \\(\\frac { 4 }{ 5 }\\) ?
\n(b) Is \\(\\frac { 9 }{ 16 }\\) equal to \\(\\frac { 5 }{ 9 }\\) ?
\n(c) Is \\(\\frac { 4 }{ 5 }\\) equal to \\(\\frac { 16 }{ 20 }\\) ?
\n(d) Is \\(\\frac { 1 }{ 15 }\\) equal to \\(\\frac { 4 }{ 30 }\\) ?
\nAnswer:
\nWe need to first simplify each fraction. After simplification if they are equal, else it is not equal
\n(a) Not equal
\n(b) Not equal
\n(c) Equal
\n(d) Not equal<\/p>\n

\"NCERT<\/p>\n

Question 8.
\nIla read 25 pages of a book containing 100 pages. Lalita read \\(\\frac { 2 }{ 5 }\\) of the same book. who read less?
\nAnswer:
\nTotal number of pages in the book = 100 pages
\nNumber of pages read by Ila = 25 pages
\nFraction of pages read by Ila = \\(\\frac { 25 }{ 100 }\\)
\n= \\(\\frac { 1 }{ 4 }\\)
\nLauta read \\(\\frac { 2 }{ 5 }\\) of the same book
\nSo, basically we need to compare the fraction \\(\\frac { 1 }{ 4 }\\) and \\(\\frac { 2 }{ 5 }\\)
\nSince, they are unlike fractions, we need to find LCM of 4 and 5 which is 20.
\nSo \\(\\frac{1}{4}=\\frac{5}{20}\\)
\n\\(\\frac{2}{5}=\\frac{8}{20}\\)
\nNow, 8 > 5
\nSo Ila read lesser than Lauta.<\/p>\n

Question 9.
\nRafiq exercised for \\(\\frac { 3 }{ 6 }\\) of an hour, while Rohit exercised for \\(\\frac { 3 }{ 4 }\\) of an hour. Who exercised for a longer time?
\nAnswer:
\nRafiq = \\(\\frac { 3 }{ 6 }\\)
\nRohit = \\(\\frac { 3 }{ 4 }\\)
\nWe need to compare the fractions. Since these are unlike fraction, we need to calculate the LCM and 4 and 6. LCM of 4 and 6 is 12.
\nRafiq = \\(\\frac{3}{6}=\\frac{6}{12}\\)
\nRahit = \\(\\frac{3}{4}=\\frac{9}{12}\\)
\n\\(\\frac{9}{12}>\\frac{6}{12}\\)
\n\u2234 Rohit exercised for a longer time than Rafiq.<\/p>\n

Question 10.
\nIn 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?
\nAnswer:
\nTotal number of students in class A = 25 Number of students passed in first class in class A = 20.
\nFraction of students of class A who passed in first class = \\(\\frac{20}{25}=\\frac{4}{5}\\)
\nTotal number of students in class B = 30 Number of students passed in first class = 24.
\nFraction of students of class B who passed in first class = \\(\\frac{24}{30}=\\frac{4}{5}\\)
\nBoth class A and B have the same fraction of students who passed in first class.<\/p>\n","protected":false},"excerpt":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.4 Question 1. Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign \u2018<‘, \u2018>’ between the fractions: …<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"yoast_head":"\nNCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-6-maths-chapter-7-ex-7-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These\u00a0NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.4 Questions and Answers are prepared by our highly skilled subject experts. 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NCERT Solutions for Class 6 Maths Chapter 7 Fractions Exercise 7.4 Question 1. Write shaded portion as fraction. 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