Question 12 Marks
Javed was given $\frac57$ of a basket of oranges. What fraction of oranges was left in the basket?
Answer$1-\frac57\;=\frac{7\;-5}7=\;\frac27$
Hence, fraction$\frac27$ of oranges was left in the basket.
View full question & answer→Question 22 Marks
Solve :$3-\frac{12}5$
Answer$3-\frac{12}5\;=\;\frac{15-12}5=\frac35$
View full question & answer→Question 32 Marks
Solve: $\frac{1}{4}+\frac{0}{4}$
AnswerHere, $\frac{1}{4}+\frac{0}{4}=\frac{1+0}{4}=\frac{1}{4}$
View full question & answer→Question 42 Marks
Solve :$1-\frac23\;\left(1\;=\;\frac33\right)$
Answer$1-\frac23\;=\;\frac33-\;\frac23=\;\frac{3-\;2}3=\frac13$
View full question & answer→Question 52 Marks
Solve: $\frac{5}{8}+\frac{3}{8}$.
Answer$\frac58+\frac38\;=\;\;\frac{5+3}8=\frac88=\;1$
View full question & answer→Question 62 Marks
Solve: $\frac{12}{15}-\frac{7}{15}$.
Answer$\frac{12}{15}-\frac7{15}\;=\;\;\frac{12-7}{15}=\frac5{15}=\frac{5\div5}{15\div5}=\frac13$
View full question & answer→Question 72 Marks
Solve :$\frac1{22}+\frac{21}{22}$
Answer$\frac1{22}+\frac{21}{22}\;=\;\;\frac{1+21}{22}=\frac{22}{22}=1$
View full question & answer→Question 82 Marks
Solve: $\frac{7}{7}-\frac{5}{7}$
AnswerHere, $\frac{7}{7}-\frac{5}{7}=\frac{7-5}{7}=\frac{2}{7}$
View full question & answer→Question 92 Marks
Solve :$\frac8{15}+\frac3{15}$
Answer$\frac8{15}+\frac3{15}\;=\;\;\frac{8+3}{15}=\frac{11}{15}$
View full question & answer→Question 102 Marks
Solve :$\frac1{18}+\frac1{18}$
Answer$\frac1{18}+\frac1{18}\;=\;\;\frac{1+1}{18}=\frac2{18}=\frac{2\div2}{18\div2}=\frac19$
View full question & answer→Question 112 Marks
Rafiq exercised for $\frac36$ of an hour, while Rohit exercised for $\frac34$ of an hour. Who exerecised for longer time?
Answer$\because$ $\frac34>\frac36$
$\therefore$ Rohit exercised for a longer time.
View full question & answer→Question 122 Marks
Find. Write and indicate how you solved this. Is$\frac{1}{15}$ equal to $\frac{4}{30}$?
AnswerEquivalent fractions of $\frac{1}{15}$ are $\frac2{30},\frac3{45},\frac4{60},.................$
$\because 4 \neq 8$
$\therefore$ $\frac{1}{15}$ is not equal to$\frac{4}{30}$
View full question & answer→Question 132 Marks
Find. Write and indicate how you solved this. Is$\frac{4}{5}$ equal$\frac{16}{20}$?
AnswerEquivalent fractions of$\frac{4}{5}$ are $\frac8{10},\frac{12}{15},\frac{16}{20},.................$
Clearly, $\frac{4}{5}$ is equal to $\frac{16}{20}$.
View full question & answer→Question 142 Marks
Compare the fraction and put an appropriate sign.
$\frac{3}{5} \square \frac{3}{7}$
AnswerHere, numerators of the two fractions are the same and $5 < 7.$
$\therefore \frac{3}{5} >\frac{3}{7}$
View full question & answer→Question 152 Marks
Compare the fraction and put an appropriate sign.
$\frac{4}{5} \square \frac{5}{5}$
AnswerHere, denominators of the fractions are same and $4 < 5.$
Therefore, $ \frac{4}{5}<\frac{5}{5}$
View full question & answer→Question 162 Marks
Compare the fraction and put an appropriate sign.
$\frac{1}{7} \square \frac{1}{4}$
AnswerHere, numerators of the two fractions are the same and $7 > 4.$
$\therefore \frac{1}{7} < \frac{1}{4}$
View full question & answer→Question 172 Marks
Compare the fraction and put an appropriate sign.
$\frac{3}{6} \square \frac{5}{6}$
AnswerHere denominators of the two fractions are the same and $3 < 5.$
Therefore, $ \frac{3}{6}<\frac{5}{6}$
View full question & answer→Question 182 Marks
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. In which class was a greater fraction of students getting with $60\%$ or more marks$?$
Answer$\frac{20}{25}=\frac{20\div\;5}{25\div5}=\frac45$
$\frac{24}{30}=\frac{24\div\;6}{30\;\div6}=\frac45$
Hence, in both the class the same fraction $\frac45$ of total students got first class.
View full question & answer→Question 192 Marks
Find the equivalent fraction $\frac{36}{48}$ with denominator $4.$
Answer$\frac{36}{48}=\frac{36\div12}{48\div\;12}=\frac34$
View full question & answer→Question 202 Marks
Find the equivalent fraction$\frac{36}{48}$ with numerator $9.$
Answer$\frac{36}{48}=\frac{36\div4}{48\div\;4}=\frac9{12}$
View full question & answer→Question 212 Marks
Find the equivalent fraction $\frac35$ having numerator $27.$
Answer$\frac35=\frac{3\times9}{5\;\times\;9}=\frac{27}{45}$
View full question & answer→Question 222 Marks
Find the equivalent fraction $\frac35$ having denominator $30.$
Answer$\frac35=\frac{3\times6}{5\;\times\;6}=\frac{18}{30}$
View full question & answer→Question 232 Marks
Find the equivalent fraction$\frac35$ having numerator $9.$
Answer$\frac35=\frac{3\times3}{5\;\times\;3}=\frac9{15}$
View full question & answer→Question 242 Marks
Find the equivalent fraction $\frac35$ having denominator $20.$
Answer$\frac35=\frac{3\times4}{5\;\times\;4}=\frac{12}{20}$
View full question & answer→Question 252 Marks
Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetables and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
What part of a sandwich will each boy receive?
AnswerHere, each sandwich is divided into three equal parts.
Hence,
Each boy will get $\frac{1}{3}$ part of each sandwich.
View full question & answer→Question 262 Marks
Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetables and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
How can Arya divide his sandwiches so that each person has an equal share?
AnswerGiven that,
Arya has brought two sandwiches, one made of vegetables and the other of jam.
Therefore,
To divide both the sandwiches equally among them,
He will divide each sandwich into three equal parts.
and he will give one part of each sandwich to each one of them.
View full question & answer→Question 272 Marks
What fraction of a day is $8$ hours$?$
Answer$1$ day $= 24$ hours
$\therefore$ Required fraction $={ 8\over24} ={ 8 ÷ 8\over24 ÷ 8} = { 1\over3}$
View full question & answer→Question 282 Marks
Colour the part according to the given fraction $\frac {4}{9}$:
View full question & answer→Question 292 Marks
Colour the part according to the given fraction $\frac {3}{4}$ :
View full question & answer→Question 302 Marks
Colour the part according to the given fraction: $\frac {1}{3}$
View full question & answer→Question 312 Marks
Colour the part according to the given fraction : $\frac {1}{4}$
View full question & answer→Question 322 Marks
Colour the part according to the given fraction : $\frac {1}{6}$
View full question & answer→Question 332 Marks
Write the fraction representing the shaded portion
Question 342 Marks
Write fraction representing the shaded portion-
Question 352 Marks
Write fraction representing the shaded portion:
Question 362 Marks
Write the fraction representing the shaded portion:-
Question 372 Marks
Write the fraction representing the shaded portion -
Question 382 Marks
Write the fraction representing the shaded portion:
Question 392 Marks
The fraction representing the shaded portion:
Question 402 Marks
The fraction representing the shaded portion.
Question 412 Marks
Write the fraction representing the shaded portion :
Question 422 Marks
Write the fraction representing the shaded portion.
Question 432 Marks
Add $\frac{2}{5}$ to $\frac{1}{3}$.
AnswerHere, $LCM$ of $5$ and $3$ is $15$.
Therefore, $\frac{2}{5}+\frac{1}{3}=\frac{2 \times 3}{5 \times 3}+\frac{1 \times 5}{3 \times 5}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}$
View full question & answer→Question 442 Marks
Subtract $\frac{3}{4}$ from $\frac{5}{6}$
Answer$LCM$ of $4$ and $6 = 12.$
Therefore, $\frac{5}{6}-\frac{3}{4}=\frac{5 \times 2}{6 \times 2}-\frac{3 \times 3}{4 \times 3}=\frac{10}{12}-\frac{9}{12}=\frac{1}{12}$
View full question & answer→Question 452 Marks
Find the equivalent fraction of $\frac{{15}}{{35}}$ with denominator $7.$
Answer$\frac{15}{35} = \frac{15\div5}{35\div5} = \frac{3}{7}$
Therefore, $\frac{15}{35}$ = $\frac{3}{7}$
View full question & answer→Question 462 Marks
Express the mixed fraction as improper fraction: $5 \frac{3}{7}$
AnswerHere, we have,
$5 \frac{3}{7}=\frac{(5 \times 7)+3}{7}=\frac{38}{7}$
View full question & answer→Question 472 Marks
Express the mixed fraction as improper fraction: $7 \frac{1}{9}$
AnswerHere, we have,
$7 \frac{1}{9}=\frac{(7 \times 9)+1}{9}=\frac{64}{9}$
View full question & answer→Question 482 Marks
Express the mixed fraction as improper fraction: $2 \frac{3}{4}$
AnswerHere, we have,
$2 \frac{3}{4}=2+\frac{3}{4}=\frac{2 \times 4}{4}+\frac{3}{4}=\frac{11}{4}$
View full question & answer→Question 492 Marks
Find: $4 \frac{2}{5}-2 \frac{1}{5}$
AnswerHere, we hvae,
$4 \frac{2}{5}-2 \frac{1}{5}=(4-2)+\left(\frac{2}{5}-\frac{1}{5}\right)=2+\frac{1}{5}=2 \frac{1}{5}$
View full question & answer→Question 502 Marks
Simplify: $\frac{3}{5}-\frac{7}{20}$
AnswerHere, $LCM$ of $5$ and $20$ is $20.$
Therefore, $\frac{3}{5}-\frac{7}{20}=\frac{3 \times 4}{5 \times 4}-\frac{7}{20}=\frac{12}{20}-\frac{7}{20}$
$= \frac{12-7}{20}=\frac{5}{20}=\frac{1}{4}$
View full question & answer→