Selina solutions concise mathematics class 6 icse Solutions for Chapter 14 fractions

Exercises in Chapter 14 fractions Grade 6

Exercise 14(A)

Exercise 14(B)

Exercise 14(C)

Exercise 14(E)

Questions in Exercise 14(A)

Q1) For each expression, given below, write a fraction :

(i) 2 out of 7 = ………..

(ii) 5 out of 17 = ………..

(iii) three-fifths = ………

Q2) Fill in the blanks :

(i) $\frac{5}{8}\ is\ .........\ fraction$

(ii) $\frac{8}{5}\ is\ ...........\ fraction$

(iii) $\frac{-15}{-15}\ is\ .......fraction$

(iv) $The\ value\ of\ \frac{5}{5}=........$

(v) The value of $\frac{5}{-5}=.....$

(vi) $3\frac{3}{10}\ is\ ........\ fraction$

(vii) $\frac{2}{15}\ \ and\ \frac{7}{15}\ are\ ........\ fractions$

(viii) $\frac{23}{12}\ \ and\ \frac{23}{15}\ are\ ............\ fractions$

(ix) $\frac{6}{15}\ \ and\ \frac{28}{70}\ \ are\ ........\ fractions$

(x) $\frac{8}{24}\ and\ \frac{8}{32}\ are\ not\ ..........\ fractions.$

(xi) $3\frac{2}{13}=\frac{3\times13+.......}{13}=.........$

(xii) $-4\frac{3}{5}=..........\ =\ .......$

Q3) From the following fractions, separate :

(i) Proper fractions

(ii) Improper fractions :

$\frac{2}{9},\frac{4}{3},\frac{7}{15},\frac{11}{20},\frac{20}{11},\frac{18}{23}and\ \frac{27}{35}$

Q4) Change the following mixed fractions to improper fractions :

$(i)2\frac{1}{5}$

$(ii)3\frac{1}{4}$

$(iii)7\frac{1}{8}$

$(iv)2\frac{1}{11}$

Q5) Change the following improper fractions to mixed fractions :

$\left(i\right)\ \frac{100}{17}$

(ii) $\frac{81}{11}$

(iii) $-\frac{209}{7}$

(iv) $-\frac{113}{15}$

Q6) Change the following groups of fractions to like fractions :

(i) $\frac{1}{3},\frac{2}{5},\frac{3}{4},\frac{1}{6}$

(ii) $\frac{5}{6},\frac{7}{8},\frac{11}{12},\frac{3}{10}$

(iii) $\frac{2}{7},\frac{7}{8},\frac{5}{14},\frac{9}{16}$

Questions in Exercise 14(B)

Q1) Reduce the given fractions to their lowest terms :

(i) $\frac{8}{10}$

(ii) $\frac{50}{75}$

(iii) $\frac{18}{81}$

(iv) $\frac{40}{120}$

(v) $\frac{105}{70}$

Q2) State, whether true or false?

Q3) Which fraction is greater?

$(i)\frac{3}{5}or\frac{2}{3}$

$(ii)\frac{5}{9}or\frac{3}{4}$

$(iii)\frac{11}{14}or\frac{26}{35}$

Q4) Which fraction is smaller?

(i) $\frac{3}{8}or\ \frac{4}{5}$

(ii) $\frac{8}{15}\ or\ \frac{4}{7}$

(iii) $\frac{7}{26}or\ \frac{10}{39}$

Q5) Arrange the given fractions in descending order of magnitude :

(i) $\frac{5}{16},\frac{13}{24},\frac{7}{8}$

(ii) $\frac{4}{5},\frac{7}{15},\frac{11}{20},\frac{3}{4}$

(iii) $\frac{5}{7},\frac{3}{8},\frac{9}{11}$

Q6) Arrange the given fractions in ascending order of magnitude :

(i) $\frac{9}{16},\frac{7}{12},\frac{1}{4}$

(ii) $\frac{5}{6},\frac{2}{7},\frac{8}{9},\frac{1}{3}$

(iii) $\frac{2}{3},\frac{5}{9},\frac{5}{6},\frac{3}{8}$

Q7) I bought one dozen bananas and ate five of them. What fraction of the total number of bananas was left?

Q8) Insert the symbol ‘=’ or ‘>’ or ‘<’ between each of the pairs of fractions, given below :

Q9) Out of 50 identical articles, 36 are broken. Find the fraction of :

(i) The total number of articles and the articles broken.

(ii) The remaining articles and a total number of articles.

Questions in Exercise 14(C)

Q1) Add the following fractions :

$(i)1\frac{3}{4}\ and\ \frac{3}{8}$

$(ii)\frac{2}{5},2\frac{3}{15}\ and\ \frac{7}{10}$

$(iii)1\frac{7}{8}+1\frac{1}{2}+1\frac{3}{4}$

$(iv)3\frac{3}{4}+2\frac{1}{6}+1\frac{5}{8}$

$(v)2\frac{8}{9},\frac{11}{18}\ and\ 3\frac{5}{6}$

$(vi)3\frac{1}{8}+55\frac{1}{2}+\frac{5}{16}$

Q2) Simplify :

(i) $1\ \frac{11}{12}-\frac{13}{16}$

(ii) $2\ \frac{3}{4}-1\ \frac{5}{6}$

(iii) $2\ \frac{5}{7}+\frac{3}{14}-\frac{13}{21}$

(iv) $3\ \frac{5}{6}-\frac{1}{6}-1\ \frac{1}{12}$

(v) $6+\frac{3}{10}-1\ \frac{8}{15}$

(vi) $1\ \frac{3}{4}+2\ \frac{5}{7}-1\ \frac{3}{14}$

(vii) $4+3\ \frac{1}{8}-3\ \frac{1}{6}$

(viii) $6-3\ \frac{1}{2}-2\ \frac{1}{5}$

(ix) $1\ \frac{5}{8}-2\ \frac{1}{6}+3\ \frac{3}{4}$

(x) $3\ \frac{1}{2}+1\ \frac{2}{3}-2\ \frac{1}{4}$

(xi) $4\ \frac{3}{5}-2\ \frac{7}{9}-1\ \frac{2}{15}-\frac{2}{45}$

Questions in Exercise 14(E)

Q1) From a rope of $10\frac{1}{2}$ m long $4\frac{5}{8}$ m is cut off. Find the length of the remaining rope.

Q2) A piece of cloth is 5 metre long. After washing, it shrinks by 1/25 of its length. What is the length of the cloth after washing?

Q3) I bought wheat worth Rs. 12 1/2, rice worth Rs. 25 3/4 and vegetables worth Rs. 10 1/4. If I gave a hundred-rupee note to the shopkeeper ; how much did he return to me

Q4) Out of 500 oranges in a box, 3/25 are rotten and 1/5 are kept for some guests. How many oranges are left in the box?

Q5) An ornament piece is made of gold and copper. Its total weight is 96g. If 1/12 of the ornament hi copper, find the weight of gold in it.

Q6) A girl did half of some work on Monday and one-third of it on Tuesday. How much will she have to do on Wednesday in order to complete the work?

Q7) A man spends 3/8 of his money and 8 still has Rs. 720 left with him. How much money did he have at first?

Q8) In a school, 4/5 of the students are boys, and the number of girls is 100. Find the number of boys.

Q9) After finishing 3/4 of my journey, I find that 12 km of my journey is covered. How much distance is still left to be covered?

Q10) When Ajit travelled 15 km, he found that one-fourth of his journey was still left. What was the full length of the journey?

Q11) In a particular month, a man earns Rs. 7,200. Out of this income, he spends 3/10 on food, 1/4 on house rent, 1/10 on insurance and 2/25 on holidays. How much did he save in that month ?