Sample QuestionsFractions (Including Problems) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Simplify and reduce to a simple fraction:
$0 \div \frac{8}{11}$
View full solution →Simplify and reduce to a simple fraction:
$\frac{2}{5} \text { of } \frac{6}{11} \times 1 \frac{1}{4}$
View full solution →Simplify and reduce to a simple fraction:
$\frac{2 \frac{1}{5}}{1 \frac{1}{10}}$
View full solution →Simplify and reduce to a simple fraction:
$\frac{3}{\frac{5}{7}}$
View full solution →Simplify and reduce to a simple fraction:
$\frac{\frac{3}{5}}{7}$
View full solution →A picture was marked at Rs. 90 . It was sold at $\frac{3}{4}$ of its marked price. What was the sale price?
View full solution →Geeta had 30 problems for homework. She worked out $\frac{2}{5}$ of them. How many problems were still left to be worked out by her?
View full solution →After going $\frac{3}{4}$ of my journey, I find that I have covered $16 \mathrm{~km}$. How much Journey is still left?
View full solution →Subtract $\frac{2}{7}-\frac{5}{21}$ from the sum of $\frac{3}{4}, \frac{5}{7}$ and $\frac{7}{12}$
View full solution →A line $A B$ is of length $6 \mathrm{~cm}$. Another line $C D$ is of length $15 \mathrm{~cm}$. What fraction is: $\frac{1}{5}$ of $C D$ to that of $A B$ ?
View full solution →Mani had sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed $10 \frac{1}{2} \mathrm{~kg} ?$
View full solution →In a business, Ram and Deepak invest $\frac{3}{5}$ and $\frac{2}{5}$ of the total investment. If Rs. 40,000 is the total investment, calculate the amount invested by each.
View full solution →When Krishna travelled $25 \mathrm{~km}$, he found that $\frac{3}{5}$ of his journey was still left. What was the length of the whole journey?
View full solution →If $\frac{4}{5}$ of an estate is worth Rs. 42,000 , find the worth of the whole estate. Also, find the value of $\frac{3}{7}$ of
View full solution →I spent $\frac{3}{5}$ of my savings and still have Rs. 2,000 left. What were my savings?
View full solution →A student bought $4 \frac{1}{3} \mathrm{~m}$ of yellow ribbon, 61 $1 / 6 m$ of red ribbon and $3 \frac{2}{9} \mathrm{~m}$ of blue ribbon for decorating a room. How many meters of ribbon did he buy?
View full solution →A boy spent $\frac{3}{5}$ of his money on buying 1 cloth and $\frac{1}{4}$ of the remaining on buying shoes. If initially, he has ₹ 2400 ; how much did he spend on shoes?
View full solution →From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought by Manoj. If 600 m² land is still left unsold, find the total area of the piece of land.
In a school, $\frac{4}{5}$ of the children are boys. If the number of girls is 200 , find the number of boys.
View full solution →A lamp post has half of its length in mud and $\frac{1}{3}$ of its length in water.
(i) What fraction of its length is above the water?
(ii) If $3 \frac{1}{3} \mathrm{~m}$ of the lamp post is above the water, find the whole length of the lamp post.
View full solution →State the true or false of the given statement:
$\frac{35}{49}, \frac{20}{28}, \frac{45}{63}$ and $\frac{100}{140}$ are equivalent fractions.
View full solution →State the true or false of the given statement:
$\frac{10}{25}$ and $\frac{25}{10}$ are equivalent fractions.
View full solution →State the true or false of the given statement:
$\frac{30}{40}$ and $\frac{12}{16}$ are equivalent fractions.
View full solution →If a boy works for six consecutive days for 8 hours, $7 \frac{1}{2}$ hours, $8 \frac{1}{4}$ hours, $6 \frac{1}{4}$ hours $+6 \frac{3}{4}$ hrs and 7 hours respectively. How much money will he earn at the rate of Rs. 36 per hour?
View full solution →From a sack of potatoes weighing $120 \mathrm{~kg}$, a merchant sells portions weighing $6 \mathrm{~kg}, 5 \frac{1}{4} \mathrm{~kg}, 9 \frac{1}{2} \mathrm{~kg}$, and $9 \frac{3}{4} \mathrm{~kg}$ respectively.
(i) How many kg did he sell?
(ii) How many kg is still left in the sack?
View full solution →Simplify: $\frac{6}{5}$ of $\left(3 \frac{1}{3}-2 \frac{1}{2}\right)+\left(2 \frac{5}{21}-2\right)$
View full solution →Simplify: $1 \frac{1}{5}+\left\{2 \frac{1}{3}-(5+\overline{2-3})\right\}-3 \frac{1}{2}$
View full solution →Simplify: $12 \frac{1}{2}-\left[8 \frac{1}{2}+\{9-(5-\overline{3-2})\}\right]$
View full solution →