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

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}

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.

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}

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 ?