RBSE Solutions for Class 5 Maths Chapter 6 Understanding the Fractions

Rajasthan Board RBSE Solutions for Class 5 Maths Chapter 6 Understanding the Fractions Textbook Exercise Questions and Answers.

RBSE Class 5 Maths Solutions Chapter 6 Understanding the Fractions

InText Questions:

Question 1. 
Find our by making a diagram
(1) Divide equal parts of a chapati among five kids and find out how much part each will get.
(2) Divide 4 chapaties equally among three kids and find out how much part each will get.
Solution:

If one chapti is divided among 5 kids, then each kid will get \(\frac{1}{5}\) chapati.

(2)

If 4 chapatis divided among three kids, then all the three kids got 1 complete chapati and \(\frac{1}{3}\) chapati also. So, each kid will get 1 + \(\frac{1}{3}\) or 1\(\frac{1}{3}\)

 

Exercise:
        
Question 1. 
See the following fractions and put the suitable sign >, <, = in box.
(i) \(\frac{1}{4}\)  \(\frac{3}{4}\)
(ii) \(\frac{1}{2}\)  \(\frac{1}{2}\)
(iii) \(\frac{1}{3}\)  \(\frac{1}{2}\)
(iv) \(\frac{1}{4}\)  \(\frac{2}{3}\)
Solution:
(i) <
(ii) =
(iii) <
(iv) <

Question 2. 
Write the following fraction and mixed fraction.
(i) \(\frac{1}{5}\)
(ii)\(​​\frac{13}{6}\)
(iii) \(\frac{3}{2}\)
(iv) \(\frac{7}{4}\)
Solution: 
(i) Mixed fraction form of \(\frac{1}{5}\) = \(\frac{1}{5}\)

(ii) Mixed fraction form of \(\frac{13}{6}\) = 2 + \(\frac{1}{6}\) = \(\frac{1}{6}\)

(iii) Mixed fraction form of \(\frac{3}{2}\) = 1 + \(\frac{1}{2}\) = 1\(\frac{1}{2}\)

(iv) Mixed fraction form of \(\frac{7}{4}\) = 1+ \(\frac{3}{4}\) = 1\(\frac{3}{4}\)

Question 3.
Write following fractions in words.
(i) \(\frac{3}{4}\)
(ii) 1\(\frac{2}{5}\)
(iii) 2\(\frac{3}{5}\)
Solution:
(i) \(\frac{3}{4}\) = Three-fourth
(ii) 1\(\frac{2}{5}\) = One and two by five
(iii) 2\(\frac{3}{5}\) = Two and Three by five

Question 4.
Represent following fractions on a number line.
(i) \(​​​​4 \frac{1}{2}\)
(ii) \(3 \frac{3}{4}\)
(iii) \(\frac{2}{3}\)
Solution:
(i) \(​​​​4 \frac{1}{2}\) = 4 + \(\frac{1}{2}\)

(ii) \(3 \frac{3}{4}\) = 3 + \(\frac{3}{4}\)

(iii) \(\frac{2}{3}\)

Question 5. 
See the number line and fill balloons with fraction value.

Solution:

 

Question 6.
Write these in words :
(i) 42.356    
(ii) 7.02
(iii) 0.409    
(iv) 309.001
Solution: 
(i) 42.356 = Forty two point three - five - six 
(ii) 7.02 = Seven point zero-two
(iii) 0.409 = Zero point four-zero-nine
(iv) 309.001 = Three hundred nine point zero-zero-one

Question 7. 
Write in digits :
(i) Five point seven-two
(ii) Sixty point three-zero-nine
(iii) Zero point zero-eight
(iv) Nine hundred five point zero-seven
Solution:
(i) 5.72
(ii) 60.309
(iii) 0.08
(iv) 905.07

Question 7.
Write in digits:
(i) \(\frac{5}{10}\)
(ii) \(\frac{28}{10}\)
(iii) \(\frac{1037}{1000}\)
(iv) \(\frac{59}{100}\)
(v) \(\frac{8}{100}\)
(vi) \(\frac{1}{4}\)
(vii) \(\frac{3}{5}\)
(viii) \(\frac{7}{25}\)
Solution:
(i) \(\frac{5}{10}\) = 0.5
(ii) \(\frac{28}{10}\) = 2.8
(iii) \(\frac{1037}{1000}\) = 1.037
(iv) \(\frac{59}{100}\) = 0.59
(v) \(\frac{8}{100}\) = 0.08
(vi) \(\frac{1}{4}=\frac{1 \times 25}{4 \times 25}=\frac{25}{100}\) = 0.25
(vii) \(\frac{3}{5}=\frac{3 \times 20}{5 \times 20}=\frac{60}{100}\) = 0.60
(viii) \(\frac{7}{25}=\frac{7 \times 4}{25 \times 4}=\frac{28}{100}\) = 0.28

Question 9.
Convert in fractions:
(i) 2.9
(ii) 0.37
(iii) 5.309
(iv) 0.005
(v) 65.04
(vi) 16.35
Solution:
(i) 2.9 = \(\frac{29}{10}\)
(ii) 0.37 = \(\frac{37}{100}\)
(iii) 5.309 = \(\frac{5309}{1000}\)
(iv) 0.005 = \(\frac{5}{1000}\)
(v) 65.04 = \(\frac{6504}{1000}\)
(vi) 16.35 = \(\frac{1635}{100}\)

Important Questions:

Multiple Choice Questions:

Question 1.    
If 4 chapatis are divided between 2 kids, then chapatis got by each one:
(a) 2 chapatis 
(b) 3 chapatis
(c) 2\(\frac{1}{2}\) chapatis 
(d) 1 chapati
Solution:
(a) 2 chapatis 

Question 2.    
If 13 chapati is distributed among 4 kids, then each will get 
(a) 4    
(b) 3\(\frac{3}{4}\)    
(c) 3\(\frac{1}{2}\)
(d) 3\(\frac{1}{4}\)
Solution:
(d) 3\(\frac{1}{4}\)

Question 3.    
Number 3 +  \(​\frac{3}{4}\) cant be represent on number line, between :
(a) 3 and 4    
(b) 4 and 5
(c) 5 and 6    
(d) 2 and 3
Solution:
(a) 3 and 4    

Question 4.    
Number 2 + 1/2 can be represent on number fine between —
(a) between 3 and 4
(b) between 2 and 3
(c) between 1 and 2
(d) between 0 and 1
Solution:
(b) between 2 and 3

Question 5.    
If 2 - 2 pens are distributed among 3 children, then total number of pens will be :
(a) 4 pens    
(b) 5 pens
(c) 6 pens    
(d) 7 pens
Solution:
(c) 6 pens    

Question 6.
On number line 4 + \(​\frac{3}{4}\) can be shown as:
(a) 4 and 5    
(b) 5 and 6
(c) 0 and 1    
(d) 1 and 2
Solution:
(a) 4 and 5

Question 7.    
3 + \(\frac{1}{2}\) ____ 3 + \(\frac{1}{3}\), sign in blank will
(a) =    
(b) > 
(c) <
(d) None of these
Solution:
(b) > 
 
Question 8.    
Number of numbers represent on number line is :
(a) infinite
(b) ten
(c) twenty 
(d) thirty
Solution:
(a) infinite

Question 9.    
One-fourth of number 16 will be :
(a) 5    
(b) 6    
(c) 4    
(d) 3
Solution:
(c) 4

Question 10.    
If one chapati is distributed among 3 kids, then each will get:
(a) \(\frac{2}{3}\)
(b) \(\frac{1}{4}\)
(c) \(\frac{1}{2}\)
(d) \(\frac{1}{3}\)
Solution:
(d) \(\frac{1}{3}\)

Short Answer Type Questions:

Question 1. 
If 5. chapatis are equally distributed between 2 kids, then how many chapatis will each kid have?
Solution: 
5 chapatis are distributed between 2 kids = \(\frac{5}{2}\) = 2 + \(\frac{1}{2}\)
It means each kid got 2 and half chapatis.

Question 2. 
Represent 6 + on number line.
Solution: 
This numbr is more than 6 and less than 7, so it lies between 6 and 7. So, divide the distance between 6 and 7 in three equal parts. Second part shows \(\frac{2}{3}\).

In this  way, we can show 6 + \(\frac{2}{3}\) number line.

Question 3. 
Represent 3 + \(\frac{3}{4}\) on number line.
Solution: 
This number is greater than 3 aiid less than 4. Divide the distance between 3 and 4 in four equal parts. Third part 3
represents \(\frac{3}{4}\).

In this way, 3 + \(\frac{3}{4}\) can be represent on number line.    

Question 4. 
By seeing number line find number in balloons.

Solution: 
First balloon is at more than 12 and less than 13. 
Divide the distance between 12 and 13 into five equal parts, balloon is at first part is at \(\frac{1}{5}\).
Thus, balloon will numbered with 12 + \(\frac{1}{5}\).
Second balloon lies at distance more than 15 and less, than 16. Divided distance between 15 and 16 into 7 equal parts.
Balloon lies at third part i.e., at \(\frac{3}{7}\).
Thus, balloon will numbered with 15 + \(\frac{3}{7}\).

Question 5. 
Write \(\frac{16}{3}\) into mixed fraction form.
Solution:
\(\frac{16}{3}\) = 5 + \(\frac{1}{3}\)
Dividing 16 into 3 parts, it can be written as 5 + \(\frac{1}{3}\).