Given:In a class A of 25 students, 20 passed with \( 60 \% \) or more marks; in another class B of 30 students, 24 passed with \( 60 \% \) or more marks.To do:We have to find in which class was a greater fraction of students getting with \( ... Read More

To do:We have to write the given fractions appropriately as additions or subtractions.Solution:(a) In the given figure,  Total number of parts each rectangle has $= 5$Number of parts shaded in the first rectangle $= 1$Fraction shaded in the first rectangle $=\frac{1}{5}$Number of parts shaded in the second rectangle $= 2$ ... Read More

To do:We have to compare the given fractions and put appropriate signs.Solution:To compare we need to convert the given fractions into fractions with equal denominators.(a) Here,$\frac{3}{6}$ and $\frac{5}{6}$ have equal denominators.$3

(i) \( \frac{4}{7} \square \frac{3}{7} \)Here, the denominators are same. Therefore, the fraction having greater numerator is greater.This implies, $\frac{4}{7} < \frac{3}{7}$(ii) \( \frac{7}{11} \square \frac{9}{11} \)Here, the denominators are same.Therefore, the fraction having greater numerator is greater.This implies, $\frac{7}{11} > \frac{9}{11}$(iii) \( \frac{2}{5} \square \frac{2}{7} \)Here, the numerators are ... Read More

To do:We have to write '$ \) ', '$=$' between the given pairs of fractions.Solution:(a) From the figure, The area occupied by $\frac{1}{3}$ is greater than the area occupied by $\frac{1}{6}$This implies, $\frac{1}{3}>\frac{1}{6}$Therefore, $\frac{1}{6} < \frac{1}{3}$(b) From the figure, The area occupied by $\frac{3}{4}$ is greater than the area occupied ... Read More

To do:We have to replace \( \square \) by the correct numbers.Solution:(a) Let $x$ be the number in the square.Therefore, $\frac{2}{7}=\frac{8}{x}$On cross multiplication, we get, $2\times x=7\times8$$x=\frac{7\times8}{2}$$x=7\times4$$x=28$The required number is 28.(b) Let $x$ be the number in the square.Therefore, $\frac{5}{8}=\frac{10}{x}$On cross multiplication, we get, $5\times x=10\times8$$x=\frac{10\times8}{5}$$x=2\times8$$x=16$The required number is 16. (c) ... Read More

To do:We have to find the equivalent fraction of \( \frac{3}{5} \) having (a) denominator 20(b) numerator 9(c) denominator 30(d) numerator 27Solution:Equivalent fractions:Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. Therefore, (a) \( \frac{3}{5} \)3 is in the numerator, multiply 4 in both ... Read More

To do:We have to reduce the given fractions to their simplest forms.Solution :(a) $\frac{48}{60}$$\frac{48}{60}= \frac{12\times4}{12\times5}$$= \frac{4}{5}$Therefore, $\frac{4}{5}$ is the simplest form of $\frac{48}{60}$. (b) $\frac{150}{60}$$\frac{150}{60}= \frac{30\times5}{30\times2}$$= \frac{5}{2}$Therefore, $\frac{5}{2}$ is the simplest form of $\frac{150}{60}$. (c) $\frac{84}{98}$$\frac{84}{98}= \frac{14\times6}{14\times7}$$= \frac{6}{7}$Therefore, $\frac{6}{7}$ is the simplest form of $\frac{84}{98}$. (d) $\frac{12}{52}$$\frac{12}{52}= \frac{4\times3}{4\times13}$$= \frac{3}{13}$Therefore, $\frac{3}{13}$ is the simplest ... Read More

Given:Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils..To do:We have to find the fraction(of pencils) each used up.Solution :Total number of pencils Ramesh had $= 20$Number ... Read More

To do:We have to match the equivalent fractions and write two more for each.Solution:(i) $\frac{250}{400}=\frac{5\times50}{8\times50}$$=\frac{5}{8}$$\frac{5\times10}{8\times10}=\frac{50}{80}$ and $\frac{5\times20}{8\times20}=\frac{100}{160}$ are two more fractions.(ii) $\frac{180}{200}=\frac{9\times20}{10\times20}$$=\frac{9}{10}$$\frac{9\times10}{10\times10}=\frac{90}{100}$ and $\frac{9\times30}{10\times30}=\frac{270}{300}$ are two more fractions.(iii) $\frac{660}{990}=\frac{2\times330}{3\times330}$$=\frac{2}{3}$$\frac{2\times10}{3\times10}=\frac{20}{30}$ and $\frac{2\times20}{3\times20}=\frac{40}{60}$ are two more fractions.(iv) $\frac{180}{360}=\frac{1\times180}{2\times180}$$=\frac{1}{2}$$\frac{1\times10}{2\times10}=\frac{10}{20}$ and $\frac{1\times20}{2\times20}=\frac{20}{40}$ are two more fractions.(v) $\frac{220}{550}=\frac{2\times110}{5\times110}$$=\frac{2}{5}$$\frac{2\times10}{5\times10}=\frac{20}{50}$ and $\frac{2\times20}{5\times20}=\frac{40}{100}$ are two more fractions.(i) (d)(ii)(e)(iii)(a)(iv)(c) (v)(b)Read More