Fractional Numbers - Worksheets

CBSE Worksheet-01
Class - IV Mathematics – Fractional Numbers

---

Time Allowed: 30 minutes

---

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

---

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$\frac{8}{19}$, 1019$\frac{10}{19}$, 119$\frac{1}{19}$, 419$\frac{4}{19}$, 719$\frac{7}{19}$
   The denominator of all fractions are the same so, we arrange them according to the numerators.
   then descending order of fractions are: 1019$\frac{10}{19}$, 819$\frac{8}{19}$, 719$\frac{7}{19}$, 419$\frac{4}{19}$, 119$\frac{1}{19}$

10. 1. 34$\frac{3}{4}$
    2. 58$\frac{5}{8}$
    3. 710$\frac{7}{10}$
    4. 44$\frac{4}{4}$
11. 1. 1014$\frac{101}{4}$
       
       So, 1014$\frac{101}{4}$ = 2514$25\frac{1}{4}$
    2. 816$\frac{81}{6}$
       
       So, 816$\frac{81}{6}$ = 1336$13\frac{3}{6}$

12. 215,115,615,1215,715$\frac{2}{15},\frac{1}{15},\frac{6}{15},\frac{12}{15},\frac{7}{15}$

    1 < 2 < 6 < 7 < 12 
    ⇒$\Rightarrow$ 115<215<615<715<1215$\frac{1}{15}<\frac{2}{15}<\frac{6}{15}<\frac{7}{15}<\frac{12}{15}$

    Ascending order : 115,215,615,715,1215$\frac{1}{15},\frac{2}{15},\frac{6}{15},\frac{7}{15},\frac{12}{15}$

13. 1. 24$\frac{2}{4}$, __ , __ , __
       multiply the fraction by 22$\frac{2}{2}$, 33$\frac{3}{3}$ and 44$\frac{4}{4}$
       Then, 24$\frac{2}{4}$×$\times$22$\frac{2}{2}$ = 48$\frac{4}{8}$, 24$\frac{2}{4}$×$\times$33$\frac{3}{3}$ = 612$\frac{6}{12}$ and 24$\frac{2}{4}$×$\times$44$\frac{4}{4}$ = 816$\frac{8}{16}$
       So, next three equivalents are 48$\frac{4}{8}$,612$\frac{6}{12}$,816$\frac{8}{16}$
    2. 45$\frac{4}{5}$, __ , __ , __
       multiply the fraction by 22$\frac{2}{2}$, 33$\frac{3}{3}$ and 44$\frac{4}{4}$
       Then, 45$\frac{4}{5}$ ×$\times$ 22$\frac{2}{2}$ = 810$\frac{8}{10}$, 45$\frac{4}{5}$ ×$\times$ 33$\frac{3}{3}$ = 1215$\frac{12}{15}$ and 45$\frac{4}{5}$ ×$\times$ 44$\frac{4}{4}$ = 1620$\frac{16}{20}$
       So, next three equivalents are 810$\frac{8}{10}$,1215$\frac{12}{15}$,1620$\frac{16}{20}$
    3. 13$\frac{1}{3}$, __ , __ , __
       multiply the fraction by 22$\frac{2}{2}$, 33$\frac{3}{3}$ and 44$\frac{4}{4}$
       Then, 13$\frac{1}{3}$ ×$\times$ 22$\frac{2}{2}$ = 26$\frac{2}{6}$, 13$\frac{1}{3}$ ×$\times$ 33$\frac{3}{3}$ = 39$\frac{3}{9}$ and 13$\frac{1}{3}$ ×$\times$ 44$\frac{4}{4}$ = 412$\frac{4}{12}$
       So, next three equivalents are 26$\frac{2}{6}$,39$\frac{3}{9}$,412$\frac{4}{12}$
14. 1. Savan completed 45$\frac{4}{5}$ of 50 pages of his book
       Total pages he read =  45$\frac{4}{5}$ ×$\times$ 50 = 45$\frac{4}{5}$ ×$\times$ 10 ×$\times$ 5 = 4 ×$\times$ 10 = 40
       Savan completed 40 pages of his 50 pages book.
    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. 
       fraction of an hour does Arjun have left to play cricket = 83$\frac{8}{3}$ - 43$\frac{4}{3}$ = 43$\frac{4}{3}$ hours
15. 1. 511$\frac{5}{11}$
       here, Numerator < Denominator
       so, 511$\frac{5}{11}$ is a proper fraction.
    2. 1511$\frac{15}{11}$
       here, Numerator > Denominator
       so 1511$\frac{15}{11}$ is an improper fraction.
    3. 15$\frac{1}{5}$
       here, Numerator < Denominator
       so, 15$\frac{1}{5}$ is a proper fraction. 
       and numerator of 15$\frac{1}{5}$ is 1, so it is a unit fraction too.
    4. 115$1\frac{1}{5}$
       given fraction is a combination of whole number and fraction so it is a mixed fraction.
16. 1. 7 ×$\times$ 211$\frac{2}{11}$
       7×211$\frac{7\times 2}{11}$ = 1411$\frac{14}{11}$
    2. 1711$\frac{17}{11}$ ×$\times$ 4
       17×411$\frac{17\times 4}{11}$ = 6811$\frac{68}{11}$
    3. 456$4\frac{5}{6}$ ×$\times$ 1529$1\frac{5}{29}$
       First we convert mixed fractions into improper fractions
       456$4\frac{5}{6}$ = 4 + 56$\frac{5}{6}$
       taking LCM
       4×6+56$\frac{4\times 6+5}{6}$ = 296$\frac{29}{6}$
       1529$1\frac{5}{29}$ = 1 + 529$\frac{5}{29}$
       taking LCM
       1×29+529$\frac{1\times 29+5}{29}$ = 3429$\frac{34}{29}$
       now multiply the improper fractions
       296$\frac{29}{6}$×$\times$3429$\frac{34}{29}$ = 346$\frac{34}{6}$=173$\frac{17}{3}$
    4. 810$\frac{8}{10}$ ×$\times$ 110$\frac{1}{10}$
       8×110×10$\frac{8\times 1}{10\times 10}$ = 4×15×10$\frac{4\times 1}{5\times 10}$ = 2×15×5$\frac{2\times 1}{5\times 5}$ = 225