{"id":10951,"date":"2021-04-20T10:41:16","date_gmt":"2021-04-20T05:11:16","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=10951"},"modified":"2021-09-15T11:33:33","modified_gmt":"2021-09-15T06:03:33","slug":"ap-board-6th-class-maths-solutions-chapter-5-ex-5-3","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-6th-class-maths-solutions-chapter-5-ex-5-3\/","title":{"rendered":"AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.3"},"content":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions<\/a> Chapter 5 Fractions and Decimals Ex 5.3 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 6th Class Maths Solutions 5th Lesson Fractions and Decimals Ex 5.3<\/h2>\n

Question 1.
\nFind the reciprocal of each of the following fractions.
\ni) \\(\\frac{5}{9}\\)
\nii) \\(\\frac{12}{7}\\)
\niii) 2\\(\\frac{1}{5}\\)
\niv) \\(\\frac{1}{8}\\)
\nv) \\(\\frac{13}{11}\\)
\nvi) \\(\\frac{8}{3}\\)
\nAnswer:
\n\"AP
\n(Reciprocal of a fraction \\(\\frac{a}{b}\\) is \\(\\frac{b}{a}\\)).<\/p>\n

\"AP<\/p>\n

Question 2.
\nSimplify:
\ni) 15 \u00f7 \\(\\frac{3}{4}\\)
\nii) 6 \u00f7 1\\(\\frac{4}{7}\\)
\niii) 3 \u00f7 2\\(\\frac{1}{3}\\)
\niv) \\(\\frac{4}{9}\\) \u00f7 15
\nv) 4\\(\\frac{3}{7}\\) \u00f7 14
\nAnswer:
\ni) 15 \u00f7 \\(\\frac{3}{4}\\)
\nWhile dividing a whole number by a fraction, multiply the whole number with the reciprocal of the fraction.
\nThus,
\n\"AP<\/p>\n

ii) 6 \u00f7 1\\(\\frac{4}{7}\\)
\nWhile dividing a whole number by a mixed fraction, first convert the mixed fraction into improper fraction and then multiply the whole number with the recipro\u00accal of the improper fraction.
\nThus,
\n\"AP<\/p>\n

iii) 3 \u00f7 2\\(\\frac{1}{3}\\)
\nWhile dividing a whole number by a mixed fraction, first convert the mixed fraction into improper fraction and then multiply the whole number with the reciprocal of the improper fraction.
\nThus,
\n\"AP<\/p>\n

\"AP<\/p>\n

iv) \\(\\frac{4}{9}\\) \u00f7 15
\nWhile dividing a proper fraction by a whole number, multiply the proper fraction with the reciprocal of a whole number.
\nThus,
\n\"AP<\/p>\n

v) 4\\(\\frac{3}{7}\\) \u00f7 14
\nWhile dividing mixed fraction by a whole number first convert the mixed fraction into improper fraction and then multiply the improper fraction with the reciprocal of a whole number.
\nThus,
\n\"AP<\/p>\n

Question 3.
\nFind:
\ni) \\(\\frac{4}{9}\\) \u00f7 \\(\\frac{2}{3}\\)
\nii) \\(\\frac{4}{11}\\) \u00f7 \\(\\frac{8}{11}\\)
\niii) 2\\(\\frac{1}{3}\\) \u00f7 \\(\\frac{3}{5}\\)
\niv) 5\\(\\frac{4}{7}\\) \u00f7 1\\(\\frac{3}{10}\\)
\nAnswer:
\ni) \\(\\frac{4}{9}\\) \u00f7 \\(\\frac{2}{3}\\)
\nWhile dividing a proper fraction by a proper fraction, multiply the proper fraction with the reciprocal of the fraction.
\nThus,
\n\"AP<\/p>\n

ii) \\(\\frac{4}{11}\\) \u00f7 \\(\\frac{8}{11}\\)
\nWhile dividing a proper fraction by a proper fraction, multiply the proper fraction with the reciprocal of the fraction.
\nThus,
\n\"AP<\/p>\n

iii) 2\\(\\frac{1}{3}\\) \u00f7 \\(\\frac{3}{5}\\)
\nWhile dividing a mixed fraction by a proper fraction, first convert the mixed fraction into improper fraction, then multiply it with the reciprocal of the proper fraction.
\nThus,
\n\"AP<\/p>\n

\"AP<\/p>\n

iv) 5\\(\\frac{4}{7}\\) \u00f7 1\\(\\frac{3}{10}\\)
\nWhile dividing a mixed fraction by a mixed fraction first convert the two mixed fraction into improper fraction, then multiply the improper fraction with the reciprocal of the second improper fraction.
\nThus,
\n\"AP<\/p>\n

Question 4.
\nThe product of two numbers is 25\\(\\frac{5}{6}\\). If one of the number is 6\\(\\frac{2}{3}\\). Find the other.
\nAnswer:
\n\"AP<\/p>\n

Question 5.
\nBy what number should 9\\(\\frac{3}{4}\\) be multiplied to get 5\\(\\frac{2}{3}\\)?
\nAnswer:
\nGiven one number = 9\\(\\frac{3}{4}\\) = \\(\\frac{39}{4}\\)
\nProduct = 5\\(\\frac{2}{3}\\) = \\(\\frac{17}{3}\\)
\n\\(\\frac{39}{4}\\) \u00d7 Required Number = \\(\\frac{17}{3}\\)
\nRequired Number = \\(\\frac{17}{3}\\) \u00f7 \\(\\frac{39}{4}\\)
\n= \\(\\frac{17}{3}\\) \u00d7 \\(\\frac{4}{39}\\)
\n= \\(\\frac{17 \\times 4}{3 \\times 39}\\)
\n= \\(\\frac{68}{117}\\)
\nNumber to be multiplied = \\(\\frac{68}{117}\\)<\/p>\n

Question 6.
\nA bucket contains 34\\(\\frac{1}{2}\\) litres of water. How many times do you get 1\\(\\frac{1}{2}\\) litres of water?
\nAnswer:
\nCapacity of Bucket = 34\\(\\frac{1}{2}\\) litres = \\(\\frac{69}{2}\\) litres
\nCapacity required = 1\\(\\frac{1}{2}\\) = \\(\\frac{2 \\times 1+1}{2}\\) =\\(\\frac{3}{2}\\)
\nNumber of times we get = \\(\\frac{69}{2}\\) \u00f7 \\(\\frac{3}{2}\\) = \\(\\frac{69}{2}\\) \u00d7 \\(\\frac{2}{3}\\) = 23 times.<\/p>\n

\"AP<\/p>\n

Question 7.
\nThe cost of 3\\(\\frac{3}{4}\\) kg. of sugar is Rs. 121\\(\\frac{1}{2}\\). Find its cost per 1 kg.
\nAnswer:
\nCost of 3\\(\\frac{3}{4}\\) kg of sugar = Rs. 121\\(\\frac{1}{2}\\)
\nCost of 1kg of sugar
\n\"AP
\nCost of 1kg of sugar = Rs. 32.40.<\/p>\n

Question 8.
\nThe length of a rectangular field is 12\\(\\frac{1}{4}\\) m. and its area is 65\\(\\frac{1}{3}\\)m2<\/sup>. Find its breadth.
\nAnswer:
\nLength of a rectangular field = 12\\(\\frac{1}{4}\\) = \\(\\frac{49}{4}\\) m
\nBreadth of a rectangular field = ?
\nArea of a rectangular field = 65\\(\\frac{1}{3}\\) = \\(\\frac{196}{3}\\) sq.m
\nlength \u00d7 breadth = Area of a rectangular
\n\"AP
\n\u2234 Breadth of a rectangular field = 5\\(\\frac{1}{3}\\) m.<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.3 Textbook Questions and Answers. AP State Syllabus 6th Class Maths Solutions 5th Lesson Fractions and Decimals Ex 5.3 Question 1. Find the reciprocal of each of the following fractions. i) ii) iii) 2 iv) v) vi) Answer: (Reciprocal of …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/10951"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=10951"}],"version-history":[{"count":0,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/10951\/revisions"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=10951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=10951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=10951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}