{"id":590242,"date":"2022-04-16T11:04:42","date_gmt":"2022-04-16T11:04:42","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=590242"},"modified":"2022-04-19T05:29:35","modified_gmt":"2022-04-19T05:29:35","slug":"maharashtra-board-solutions-class-5-maths-problem-set-18-part-1-chapter-5-fractions","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-5-maths-problem-set-18-part-1-chapter-5-fractions\/","title":{"rendered":"Maharashtra Board Solutions Class 5-Maths (Problem Set 18) – Part 1: Chapter 5- Fractions"},"content":{"rendered":"\n

Class 5: Maths Chapter 5 solutions. Complete Class 5 Maths Chapter 5 Notes.<\/p>\n\n\n\n

Maharashtra Board Solutions Class 5-Maths (Problem Set 18) – Part 1: Chapter 5- Fractions<\/h2>\n\n\n\n

Maharashtra Board 5th Maths Chapter 5, Class 5 Maths Chapter 5 solutions<\/p>\n\n\n\n

Important Questions and Answers.<\/em><\/strong><\/p>\n\n\n\n

Convert the given fractions into like fractions.
\"Maharashtra
Solution :<\/strong>
8 is the multiple of 4 So, make 8, the common denominator 34=3\u00d724\u00d72=68.Thus 6\/8 and 5\/8are the required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>The number 35 is a multiple of both 5 and 7 So, making 35 as the common denominater 35=3\u00d775\u00d77=2135,37=3\u00d757\u00d75=1535 Therefore, 21\/35 and 15\/35 are required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
Here 10 is the multiples of 5. So make 10 as the common denominator 45=4\u00d725\u00d72=810. Thus 8\/10 and 3\/10 are required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>Least common multiple of 9 and 6 is 18. So, make, 18 as the common denominator. 29=2\u00d729\u00d72=418,16=1\u00d736\u00d73=318. Thus, 4\/18 and 3\/18 are the required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>Least common multiple of 4 and 3 is 12 So, make 12 as common denominator 14=1\u00d734\u00d73=312,23=2\u00d743\u00d74=812. so, 312,812 are required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>Least common multiple of 6 and 5 is 30 So, make 30 as common denominator 56=5\u00d756\u00d75=2530,45=4\u00d765\u00d76=2430 So, 2530,2430 are required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>Least common multiple of 8 and 6 is 24 So, make 24 as common denominator 38=3\u00d738\u00d73=924,16=1\u00d746\u00d74=424 So, 924,424 are required like fractions.<\/p>\n\n\n\n

\"Maharashtra
Solution :
<\/strong>Least common multiple of 6 and 9 is 18 So, make 18 as common denominator 16=1\u00d736\u00d73=318,49=4\u00d729\u00d72=818 So, 3\/18 and 8\/18 are the required like fractions.<\/p>\n\n\n\n

Comparing like fractions
Example (1) A strip was divided into 5 equal parts. It means that each part is 1\/5 . The coloured part is 35=15+15+15.
\"Maharashtra<\/p>\n\n\n\n

The white part is 25=15+15. The coloured part is bigger than the white part. This tells us that 3\/5 is greater than 2\/5. This is written as 3\/5 > 2\/5.<\/p>\n\n\n\n

Example (2) This strip is divided into 8 equal parts. 3 of the parts have one colour and 4 have another colour. Here, 3\/8 < 8\/4.
\"Maharashtra<\/p>\n\n\n\n

In like fractions, the fraction with the greater numerator is the greater fraction.<\/p>\n\n\n\n

Comparing fractions with equal numerators
You have learnt that the value of fractions with numerator 1 decreases as the denominator increases.<\/p>\n\n\n\n

Even if the numerator is not 1, the same rule applies so long as all the fractions have a common numerator. For example, look at the figures below. All the strips in the figure are alike.
2 of the 3 equal parts of the strip \"Maharashtra
2 of the 4 equal parts of the strip \"Maharashtra
2 of the 5 equal parts of the strip \"Maharashtra
The figure shows that 2\/3 > 2\/4 > 5\/2.<\/p>\n\n\n\n

Of two fractions with equal numerators, the fraction with the greater denominator is the smaller fraction.<\/p>\n\n\n\n

Comparing unlike fractions
Teacher : Suppose we have to compare the unlike fractions 3\/5 and 4\/7. Let us take an example to see how this is done. These two boys are standing on two blocks. How do we decide who is taller?<\/p>\n\n\n\n

Sonu : But the height of the blocks is not the same. If both blocks are of the same height, it is easy to tell who is taller.<\/p>\n\n\n\n

Nandu : Now that they are on blocks of equal height, we see that the boy on the right is taller.<\/p>\n\n\n\n

Teacher : The height of the boys can be compared when they stand at the same height. Similarly, if fractions have the same denominators, their numerators decide which fraction is bigger.<\/p>\n\n\n\n

Nandu : Got it! Let\u2019s obtain the same denominators for both fractions.<\/p>\n\n\n\n

Sonu : 5 \u00d7 7 can be divided by both 5 and 7. So, 35 can be the common denominator.
\"Maharashtra<\/p>\n\n\n\n

To compare unlike fractions, we convert them into their equivalent fractions so that their denominators are the same.<\/p>\n\n\n\n

Additional Important Questions and Answers<\/strong><\/p>\n\n\n\n

Question 1.
59,1736
Solution :<\/strong>
36 is the multiple of 9 So, make 36 the common denominator 59=5\u00d749\u00d74=2036, Thus 20\/36 and 17\/36 are the required like fractions.<\/p>\n\n\n\n

Question 2.
56,79
Solution:<\/strong>
Least common multiple of 6 and 9 is 18 So, make 18 as the common denominator 56=5\u00d736\u00d73=1518,79=7\u00d729\u00d72=1418 So, 15\/18 and 14\/18 are the required like fractions.<\/p>\n\n\n\n

Question 3.
711,35
Solution:<\/strong>
Least common multiple of 11 and 5 is 55 So, make 55 as the common denominator. 711=7\u00d7511\u00d75=3555,35=3\u00d7115\u00d711=3355. Thus 35\/55 and 33\/55 are required like fractions.<\/p>\n\n\n\n

Download PDF<\/strong><\/h2>\n\n\n\n

Maharashtra Board Solutions Class 5-Maths (Problem Set 18) – Part 1: Chapter 5- Fractions<\/p>\n\n\n\n

Download PDF<\/strong>: Maharashtra Board Solutions Class 5-Maths (Problem Set 18) – Part 1: Chapter 5- Fractions PDF<\/a><\/p>\n\n\n\n

Chapterwise Maharashtra Board Solutions Class 5 Maths :<\/strong><\/h2>\n\n\n\n

Part 1<\/strong><\/p>\n\n\n\n