Fractional Numbers - Worksheets

CBSE Worksheet-01
Class - IV Mathematics – Fractional Numbers

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Time Allowed: 30 minutes

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1. Fill in the blanks with suitable words:

   1.  34$\frac{3}{4}$ + __ = 124$\frac{12}{4}$

   2. The improper fraction of 4710$4\frac{7}{10}$ is ________.

   3. Improper fraction of 415$4\frac{1}{5}$ is ________.

   4. 435+525=$4\frac{3}{5}+5\frac{2}{5}=$ ________

   5. In 923$\frac{9}{23}$; ________ is denominator.

2. State whether each of the following statement is True or False:

   1. The colored part in the below figure in the fraction is 712$\frac{7}{12}$
      

   2. 215=415$\frac{21}{5}=4\frac{1}{5}$

   3. 25$\frac{2}{5}$ and 75$\frac{7}{5}$ are like fractions.

   4. 12+32+52=4$\frac{1}{2}+\frac{3}{2}+\frac{5}{2}=4$

   5. 52−32−22=0$\frac{5}{2}-\frac{3}{2}-\frac{2}{2}=0$

3. What part of the diagram is the coloured?
   

   1. 42$\frac{4}{2}$

   2. 32$\frac{3}{2}$

   3. 22$\frac{2}{2}$

   4. 12$\frac{1}{2}$

4. Numerator in the fraction 57$\frac{5}{7}$ is

   1. 57$\frac{5}{7}$

   2. 5

   3. 7

   4. 17$\frac{1}{7}$

5. Find the sum: 110,310$\frac{1}{10},\frac{3}{10}$ and 410$\frac{4}{10}$

   1. 830$\frac{8}{30}$

   2. 420$\frac{4}{20}$

   3. None of these

   4. 810$\frac{8}{10}$

6. Compare the pair of fractions using<,> or=sign. 48?89$\frac{4}{8}?\frac{8}{9}$

   1. >

   2. <

   3. None of these

   4. =

7. What is obtained while converting 165$\frac{16}{5}$ into mixed fraction?

   1. 145$1\frac{4}{5}$

   2. 315$3\frac{1}{5}$

   3. 235$2\frac{3}{5}$

   4. 135$1\frac{3}{5}$

8. Match the following:

   (a)   110.......410$\frac{1}{10}.......\frac{4}{10}$	(i) =
   (b)   320.......120$\frac{3}{20}.......\frac{1}{20}$	(ii) <
   (c)    210.......15$\frac{2}{10}.......\frac{1}{5}$	(iii) >
   (d)   210.......110=310$\frac{2}{10}.......\frac{1}{10}=\frac{3}{10}$	(iv) +

9. Arrange the following in descending order: 819$\frac{8}{19}$, 1019$\frac{10}{19}$, 119$\frac{1}{19}$, 419$\frac{4}{19}$, 719$\frac{7}{19}$

10. What part of the whole is shaded? Write it in fraction form.

    1. 
    2. 
    3. 
    4. 

11. Express as a mixed fraction:

    1. 1014$\frac{101}{4}$
    2. 816$\frac{81}{6}$

12.  Arrange the following in ascending order:
    215,115,615,1215,715$\frac{2}{15},\frac{1}{15},\frac{6}{15},\frac{12}{15},\frac{7}{15}$

13. Write the next three equivalent to each of the following:

    1. 24$\frac{2}{4}$, __, __, __
    2. 45$\frac{4}{5}$, __, __, __
    3. 13$\frac{1}{3}$, __, __, __

14. Answer the following question.

    1. Savan completed 45$\frac{4}{5}$ of 50 pages of his book. how many pages of a book he completed?  
    2. Arjun is allowed to play cricket for 83$\frac{8}{3}$ hours each day. he has already played for 43$\frac{4}{3}$ hours today. what fraction of an hour does Arjun has left to play cricket?

15. Identify the type of the following fractions.

    511$\frac{5}{11}$,1511$\frac{15}{11}$, 15$\frac{1}{5}$, 115$1\frac{1}{5}$

16. Multiply:

    1. 7×$\times$211$\frac{2}{11}$
    2. 1711$\frac{17}{11}$×$\times$4
    3. 456$4\frac{5}{6}$×$\times$1529$1\frac{5}{29}$
    4. 810$\frac{8}{10}$×$\times$110$\frac{1}{10}$

CBSE Worksheet-01
Class - IV Mathematics – Fractional Numbers

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Solution

1. Fill in the blanks with suitable words:

   1. 94$\frac{9}{4}$
      34$\frac{3}{4}$ + __ = 124$\frac{12}{4}$
      __ = 124$\frac{12}{4}$-34$\frac{3}{4}$
      __ = 12−34$\frac{12-3}{4}$ (by taking LCM)
      __ = 94$\frac{9}{4}$

   2. 4710$\frac{47}{10}$
      4710$4\frac{7}{10}$ = (4×10)+710$\frac{(4\times 10)+7}{10}$ = 40+710$\frac{40+7}{10}$  = 4710$\frac{47}{10}$

   3. 215$\frac{21}{5}$
      415$4\frac{1}{5}$ = (4×5)+15$\frac{(4\times 5)+1}{5}$ = 20+15$\frac{20+1}{5}$  = 215$\frac{21}{5}$

   4. 10
      435+525=$4\frac{3}{5}+5\frac{2}{5}=$ 235+275=$\frac{23}{5}+\frac{27}{5}=$ 23+275=$\frac{23+27}{5}=$505$\frac{50}{5}$ =10×55$\frac{10\times 5}{5}$ = 10

   5. 23, In ab$\frac{a}{b}$ a is numerator and b is denominator.

2. State whether each of the following statement is True or False:

   1. True
      Total parts = 12
      colored parts = 7
      Fraction = 712$\frac{7}{12}$

   2. True
      415=(4×5)+15=215$4\frac{1}{5}=\frac{(4\times 5)+1}{5}=\frac{21}{5}$

   3. True
      The denominator of both fractions is 5 so they are like fractions.

   4. False
      12+32+52=92$\frac{1}{2}+\frac{3}{2}+\frac{5}{2}=\frac{9}{2}$

   5. True
      52−32−22=5−3−22=0$\frac{5}{2}-\frac{3}{2}-\frac{2}{2}=\frac{5-3-2}{2}=0$

3. (d) 12$\frac{1}{2}$
   Explanation: Whole part= 4 and colour part = 2
   Part of the whole is coloured = 24$\frac{2}{4}$= 12$\frac{1}{2}$
4. (b) 5
   Explanation: The top number in a fraction is numerator of fraction. Numerator in the fraction 57$\frac{5}{7}$ is 5.
5. (d) 810$\frac{8}{10}$
   Explanation: 
   110+310+410=1+3+410=810$\frac{1}{10}+\frac{3}{10}+\frac{4}{10}=\frac{1+3+4}{10}=\frac{8}{10}$
6. (b) <
   Explanation: Take L.C.M 8,9 =72

   48=4×98×9=3672$\frac{4}{8}=\frac{4\times 9}{8\times 9}=\frac{36}{72}$

   89=8×89×8=6472$\frac{8}{9}=\frac{8\times 8}{9\times 8}=\frac{64}{72}$
   48<89$\frac{4}{8}<\frac{8}{9}$

7. (b) 315$3\frac{1}{5}$

   Explanation:
   
   ⇒$\Rightarrow$165=315$\frac{16}{5}=3\frac{1}{5}$

8. (a) – (ii), (b) – (iii), (c) – (i), (d) – (iv)
   (a) 110.......410$\frac{1}{10}.......\frac{4}{10}$ 
       1 < 4  => 110<410$\frac{1}{10}<\frac{4}{10}$

   (b) 320.......120$\frac{3}{20}.......\frac{1}{20}$ 
       3 > 1 ==>  320>120$\frac{3}{20}>\frac{1}{20}$

   (c) 210.......15$\frac{2}{10}.......\frac{1}{5}$

      210=15$\frac{2}{10}=\frac{1}{5}$

   (d) 210.......110=310$\frac{2}{10}.......\frac{1}{10}=\frac{3}{10}$
        210+110=310$\frac{2}{10}+\frac{1}{10}=\frac{3}{10}$

9. 819$\frac{8}{19}$,