Fractions - Worksheets

 CBSE Worksheet 01

Ch-7 Fractions

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1. Which of the following is a smaller fraction?
   (a) 45$\frac{4}{5}$ (b) 53$\frac{5}{3}$ (c) 56$\frac{5}{6}$ (d) 52$\frac{5}{2}$
2. Express as mixed fraction169$\frac{16}{9}$.
   1. 279$2\frac{7}{9}$
   2. 159$1\frac{5}{9}$
   3. 179$1\frac{7}{9}$
   4. 259$2\frac{5}{9}$
3. What fraction of an hour is 45 minutes?
   1. None of these
   2. 34$\frac{3}{4}$
   3. 14$\frac{1}{4}$
   4. 12$\frac{1}{2}$
4. 17101____12101$\frac{17}{101}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\frac{12}{101}$
   (a) None of these (b) > (c) = (d) <
5. Write the fraction representing the shaded region in the given square.
   
   1. 416$\frac{4}{16}$
   2. 916$\frac{9}{16}$
   3. 516$\frac{5}{16}$
   4. 1016$\frac{10}{16}$
6. Match the following:

   Column I	Column II
   (a)	(i) 59$\frac{5}{9}$
   (b)	(ii) 12$\frac{1}{2}$
   (c)	(iii) 13$\frac{1}{3}$
   (d)	(iv) 45$\frac{4}{5}$

    
7. Fill in the blanks:
   There is a large box of 36 small square boxes.

   1. 12$\frac{1}{2}$ of it is _____.
   2. 23$\frac{2}{3}$ of it is _____.
   3. If I make a bench of 20 small boxes, the fraction becomes _____.
   4. _____ boxes are required if fraction is 56$\frac{5}{6}$.
8. State True or False:

   1. In 37$\frac{3}{7}$, 3 is the part of whole.
   2. On a number line, 27$\frac{2}{7}$ is to the right of zero.
   3. 25$\frac{2}{5}$ is smaller than 15$\frac{1}{5}$.
   4. 2845$\frac{28}{45}$ and 35$\frac{3}{5}$ represent equivalent fractions.
9. Solve :165−75$\frac{16}{5}-\frac{7}{5}$
10. Colour the part according to 34$\frac{3}{4}$.
11. Find the equivalent fraction 35$\frac{3}{5}$ having numerator 27.
12. Rewrite the fractions in the simplest form

    1. 86$\frac{8}{6}$
    2. 4472$\frac{44}{72}$
13. Express the following as mixed fracton : 196$\frac{19}{6}$
14. Show 1010$\frac{10}{10}$ on the number line.
15. Find the missing entries in the tables:

    Fraction in standard form	Numerator	Denominator	Diagrammatic Representation
    67$\frac{6}{7}$	84	a
    b	5	6
    9×25×2$\frac{9\times 2}{5\times 2}$	c	10

CBSE Worksheet 01
Ch-7 Fractions

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Answer

1. 1. 45$\frac{4}{5}$ Explanation: 4/5, 5/6 , 5/3 , 5/2 lcm of denominator(5,6,3,2)=30
      45,56,53,52=24,25,50,7530$\frac{4}{5},\frac{5}{6},\frac{5}{3},\frac{5}{2}=\frac{24,25,50,75}{30}$ smaller fraction =2430$\frac{24}{30}$i.e 45$\frac{4}{5}$
2. 3. 
      179$1\frac{7}{9}$ Explanation: 16÷9$16÷9$ quotient is 1 which is a whole number and remainder is 7 which is a numerator of a proper fraction and denominator of proper fraction is 9 so mixed fraction = 179$1\frac{7}{9}$
3. 2. 
      34$\frac{3}{4}$ Explanation: 1 hour = 60 minutes 4560=45÷1560÷15=34$\frac{45}{60}=\frac{45÷15}{60÷15}=\frac{3}{4}$
4. 2. >
      Explanation: denominator is 101 so 17101>12101$\frac{17}{101}>\frac{12}{101}$
5. 4. 1016$\frac{10}{16}$ Explanation: Total part = 16, shaded part = 10
      Fraction = 1016$\frac{10}{16}$
6. 1. →$\to$ (iv)
      4 parts are shaded out of 5 parts.
      Therefore, the shaded portion = 45$\frac{4}{5}$
   2. →$\to$ (i)
      5 parts are shaded out of 9 parts.
      Therefore, the shaded portion = 59$\frac{5}{9}$
   3. →$\to$ (ii)
      3 parts are shaded out of 6 parts.
      Therefore, the shaded portion = 36=3÷36÷3=12$\frac{3}{6}=\frac{3÷3}{6÷3}=\frac{1}{2}$
   4. →$\to$ (iii)
      1 part is shaded out of 3 parts.
      Therefore, the shaded portion = 13$\frac{1}{3}$
7. 1. 18
      12$\frac{1}{2}$ of 36 boxes
      = 12×$\frac{1}{2}\times$ 36 = 362$\frac{36}{2}$ = 18 boxes.
   2. 24
      23$\frac{2}{3}$ of 36 boxes
      = 23×$\frac{2}{3}\times$ 36 = 2×363$\frac{2\times 36}{3}$ = 2 x 12 = 24 boxes.
   3. 59$\frac{5}{9}$
      If a bench is made with 20 boxes out of 36 boxes, the fraction
      = 2036=20÷436÷4=59$\frac{20}{36}=\frac{20÷4}{36÷4}=\frac{5}{9}$
   4. 30
      Let x$x$ boxes out of 36 boxes makes fraction 56$\frac{5}{6}$
      i.e., x36=56$\frac{x}{36}=\frac{5}{6}$
      x=56×36=5×366$x=\frac{5}{6}\times 36=\frac{5\times 36}{6}$ = 5 x 6 = 30.
      Therefore, 30 boxes makes the fraction 56$\frac{5}{6}$
8. 1. True
      In the fraction, 37$\frac{3}{7}$, numerator is 3 and denominator is 7, which means that a unit has been divided into 7 equal parts out of which 3 parts have been taken into account.
   2. True
      All positive fractions are greater than zero and lies to the right of zero.
   3. False
      When denominators are same in two fractions, the fraction with the greater numerator is greater than the other fraction.
      Here, in the frations 25and15$\frac{2}{5}and\frac{1}{5}$, denominators are same and in the numerators 2 and 1, 2 is greater than 1.
      So, 25>15$\frac{2}{5}>\frac{1}{5}$
   4. False
      In the fractions, 2845$\frac{28}{45}$ and 35$\frac{3}{5}$ comparing their cross products,
      28×5=140$28\times 5=140$ and 45×3=135$45\times 3=135$, we observe that they are not equal.
      Hence, 2845$\frac{28}{45}$ and 35$\frac{3}{5}$ are not equivalent fractions.
9. 165−75=16−75=95=145$\frac{16}{5}-\frac{7}{5}=\frac{16-7}{5}=\frac{9}{5}=1\frac{4}{5}$
10. 34$\frac{3}{4}$ means 3 parts out of 4 parts.
    So, colour 3 parts out of 4 parts given. 

     

11. 35=3×95×9=2745$\frac{3}{5}=\frac{3\times 9}{5\times 9}=\frac{27}{45}$
12. 1. 86=$\frac{8}{6}=$ 8÷26÷2=43$\frac{8÷2}{6÷2}=\frac{4}{3}$
    2. 4472=$\frac{44}{72}=$ 44÷272÷2=22÷236÷2=1118$\frac{44÷2}{72÷2}=\frac{22÷2}{36÷2}=\frac{11}{18}$
13. 196$\frac{19}{6}$= 19 ÷$÷$ 6
    
    ∴$\therefore$196=316$\frac{19}{6}=3\frac{1}{6}$
14. 1010$\frac{10}{10}$ is 1 whole, which can be shown by the point 1.
    

15. Fraction in standard form	Numerator	Denominator	Diagrammatic Representation
    67$\frac{6}{7}$	84	98$\boxed{{\displaystyle 98}}$
    56$\boxed{{\displaystyle \frac{5}{6}}}$	5	6
    95=145$\frac{9}{5}=1\frac{4}{5}$	18$\boxed{{\displaystyle 18}}$	10

    a. 67$\frac{6}{7}$ = 6×147×14=8498$\frac{6\times 14}{7\times 14}=\frac{84}{\boxed{{\displaystyle 98}}}$ b. 56=5×16×1=56$\boxed{{\displaystyle \frac{5}{6}}}=\frac{5\times 1}{6\times 1}=\frac{5}{6}$ c. 95=9×25×2=1810