To find: We have to find the fraction of given circles which have X's in them.Solution: Total number of circles in the figure $= 8$Number of circles having X’s in them $= 4$Therefore, The fraction of given circles which have X's in them $=\frac{4}{8}$$=\frac{1}{2}$The required fraction is $\frac{1}{2}$.Read More

To do :We have to locate the given points on the number line.Solution :(a) In order to represent a fraction on the number line, we need to divide the line segment between two whole numbers into 'n' equal parts where n represents the denominator of the fraction.Therefore, If we have ... Read More

Given:Three figures are given.To do:We have to find the errors in the figures.Solution:In the first figure, the shaded portion is not exactly half.Hence, it is not equal to $\frac{1}{2}$In the second figure, all the parts are not equal.Hence, the shaded portion is not equal to $\frac{1}{4}$In the third figure, all ... Read More

To do: We have to colour the part according to the given fractions.Solution:(i) The given fraction is $\frac{1}{6}$. So, we colour 1 part out of 6 parts.(ii) The given fraction is $\frac{1}{4}$. So, we colour 1 part out of 4 parts. (iii) The given fraction is $\frac{1}{3}$. So, we colour 1 ... Read More

To do:We have to find whether the given square is a magic square.Solution:A magic square is an array of numbers where the sum of rows, columns, and diagonal elements are equal.On adding the numbers in each row we get, Sum of the first row $=\frac{4}{11}+\frac{9}{11}+\frac{2}{11}$$=\frac{4+9+2}{11}$$=\frac{15}{11}$Sum of the second row $=\frac{3}{11}+\frac{5}{11}+\frac{7}{11}$$=\frac{3+5+7}{11}$$=\frac{15}{11}$Sum ... Read More

Given :Length of the rectangular sheet of paper$= 12 \frac{1}{2}\ cm$. Breadth of the rectangular sheet of paper $= 10 \frac{2}{3}\ cm$.To do :We have to find the perimeter of the rectangle.Solution :Length $(l)= 12 \frac{1}{2}\ cm$$= \frac{(12\times 2+1)}{2}\ cm$ $= \frac{(24+1)}{2}\ cm$$=\frac{25}{2}\ cm$ Breadth $(b)= 10 \frac{2}{3}\ cm$$= \frac{(10\times3+2)}{3}\ cm$$= ... Read More

Given:(i) $\frac{2}{9}, \frac{2}{3} \times \frac{8}{21}$(ii) $\frac{1}{5}, \frac{3}{7}, \ \frac{7}{10}$To do:We have to arrange the given fractions in descending order in each case.Solution:(i) $\frac{2}{9}, \frac{2}{3}, \frac{8}{21}$LCM of $3, 9, 21$ is $63$Convert the given fractions into equivalent fractions having $63$ as the denominator.Given fractions can be rewritten as, $\frac{2}{9}=\frac{2}{9}\times\frac{7}{7}$$=\frac{2\times7}{9\times7}$$=\frac{14}{63}$$\frac{2}{3}=\frac{2}{3}\times\frac{21}{21}$$=\frac{2\times21}{3\times21}$$=\frac{42}{63}$$\frac{8}{21}=\frac{8}{21}\times\frac{3}{3}$$=\frac{8\times3}{21\times3}$$=\frac{24}{63}$Here, $\frac{42}{63}>\frac{24}{63}>\frac{14}{63}$This implies, ... Read More

To do:We have to solve the given expressions.Solution:(i) $3-\frac{2}{5}$$=\frac{3}{1}-\frac{2}{5}$ $=\frac{3\times5-2}{5}$                      (L.C.M. of $1$ and $5$ is $5$)$=\frac{15-2}{5}$$=\frac{13}{5}$(ii) $4+\frac{7}{8}$$=\frac{4}{1}+\frac{7}{8}$$=\frac{4\times8+7}{8}$             (L.C.M. of $1$ and $8$ is $8$)$=\frac{32+7}{8}$$=\frac{39}{8}$(iii) $\frac{3}{5}+\frac{2}{7}$$=\frac{3\times7+2\times5}{35}$     (L.C.M. of $5$ and $7$ is $35$)$=\frac{21+10}{35}$$=\frac{31}{35}$(iv) $\frac{9}{11}-\frac{4}{15}$$=\frac{9\times15-4\times11}{165}$    ... Read More

Given: A vehicle covers a distance of 43.2 km in 2.4 litres of petrol.To do:  We have to find the distance covered in 1 litre of petrol.Solution:Distance covered in $2.4$ litres of petrol $=43.2\ km$Distance covered in $1$ litre of petrol $=\frac{43.2}{2.4}$$=\frac{432}{10}\times\frac{10}{24}$$=18\ km$Thus, it covers a distance of $18\ km$ ... Read More

To do:We have to find(i) $7 \div 3.5$(ii) $36 \div 0.2$(iii) $3.25 \div 0.5$(iv) $30.94 \div 0.7$(v) $0.5 \div 0.25$(vi) $7.75 \div 0.25$(vii) $76.5 \div 0.15$(viii) $37.8 \div 1.4$(ix) $2.73 \div 1.3$Solution:We know that, On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.$\frac{a}{b} ... Read More