Introduction to Fractions

Q. Arrange the fractions $\frac{2}{3},\frac{3}{4},\frac{1}{2}and\frac{5}{6}$ in ascending order.

1. $\frac{1}{2}<\frac{2}{3}<\frac{3}{4}<\frac{5}{6}$
2. $\frac{3}{4}<\frac{2}{3}<\frac{1}{2}<\frac{5}{6}$
3. $\frac{5}{6}<\frac{2}{3}<\frac{3}{4}<\frac{1}{2}$
4. $\frac{2}{3}<\frac{5}{6}<\frac{3}{4}<\frac{1}{2}$

Q.

Multiply the following fractions: $\frac{2}{5}\times 5\frac{1}{4}$

Q.

Arrange the fractions in ascending order:
$\frac{3}{8}$, $\frac{7}{8}$, $\frac{6}{8}$, $\frac{4}{8}$

1. $\frac{7}{8}$, $\frac{6}{8}$, $\frac{4}{8}$, $\frac{3}{8}$

2. $\frac{6}{8}$, $\frac{3}{8}$, $\frac{7}{8}$, $\frac{4}{8}$

3. $\frac{3}{8}$, $\frac{7}{8}$, $\frac{6}{8}$, $\frac{4}{8}$

4. $\frac{3}{8}$, $\frac{4}{8}$, $\frac{6}{8}$, $\frac{7}{8}$

Q.

(a) Arrange the rational numbers $\frac{-7}{10}$, $\frac{5}{-8}$, $\frac{2}{-3}$ in ascending order.

(b) Arrange the rational numbers $\frac{4}{3}$, $\frac{17}{2}$, $\frac{5}{18}$ in ascending order.

[4 MARKS]

Q.

What fraction of numbers from 1 to 15 are prime?

Q.

What fraction of natural numbers from 2 to 10 are prime numbers?

1. $\frac{1}{9}$

2. $\frac{2}{9}$

3. $\frac{3}{9}$

4. $\frac{4}{9}$

Q.

Convert $2009$Paisa to rupees and express the result as a mixed fraction.

Q.

What are two equivalent fractions for $\frac{4}{7}$.

Q.

The fraction represented by the shaded portion in the following figure is ________ .

1. $\frac{3}{8}$
2. $\frac{8}{5}$
3. $\frac{3}{7}$
4. $\frac{5}{8}$

Q.

Question 10 (ii)

Write the following rational numbers in ascending order:
$\frac{1}{3},\frac{-2}{9},\frac{-4}{3}$

Q.

$\text{If}\frac{9}{7}\text{and}\frac{a}{63}$ are equivalent fractions, what is the value of a ?

1. 80
2. 81
3. 49
4. 72

Q.

There are 40 animals in a zoo out of which 10 animals have been recently transferred from another zoo. What is the fraction of animals that were already present at the zoo?

1. $\frac{1}{4}$

2. $\frac{2}{4}$

3. $\frac{3}{4}$

4. $\frac{4}{4}$

Q.

Compare the following fractions: $\frac{3}{6}and\frac{5}{6}$

1. $\frac{3}{6}<\frac{5}{6}$
2. $\frac{3}{6}>\frac{5}{6}$
3. $\frac{3}{6}=\frac{5}{6}$
4. $\frac{3}{6}=2\times \frac{5}{6}$

Q. What fractions do the points A and B show on the number lines below?
1.



2.


3.

Q.

How to place fractions on number line

Q. Find the equivalent fractions among the given fractions.
Also explain with the help of a diagram why they are equivalent?
$\frac{1}{2},\frac{3}{6},\frac{4}{8},\frac{4}{12},\frac{2}{4}$

Q.

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

(a)

(b)

(c) Show on the number line. Put appropriate signs between the fractions given.

Q.

Find the value of the product $3\frac{1}{4}\times \frac{12}{39}$.

Q.

You go to Pizza Hut along with two of your friends and order one large pizza. What will be each one's share assuming each of you have the same number of slices?

1. 1/3

2. 9/3

3. 1/2

4. 2/5

Q.

Solve: $\frac{1}{2}+\frac{3}{5}$

Q. Write each fraction. Arrange them in ascending and descending order using correct sign <,
=, > between the fractions:

Q. $\text{The fraction equivalent to}\frac{5}{6}\text{is}$

1. Different
2. Same
3. None of the above
4. Vary

Q. Convert 2009 paise to rupees, expressing interms of a mixed fraction.

1. $Rs.9\frac{20}{10}$
2. $Rs.20\frac{90}{100}$
3. $Rs.20\frac{9}{100}$
4. $Rs.9\frac{20}{100}$

Q. Equivalent fractions are defined as fractions that have ___ simplest form.

1. same
2. different
3. None of the above
4. (a) and (b) above.

Q.

Raj, Gaurav and Amit are fast friends. They started painting a wall. Raj paints $\frac{2}{15}$ of the wall, Gaurav paints $\frac{1}{24}$ of the wall and Amit paints $\frac{3}{10}$ of the wall. Read the statements related to above situation and answer the question given below.

Statement $1:$ Gaurav painted least portion of the wall.

Statement $2:$ $\frac{1}{18}$ portion of the wall is unpainted.

Which of the following option holds?

1. Both statements $1$ and statement $2$ are true.

2. Both statements $1$ and statement $2$ are false.

3. Statement $1$ is true but statement $2$ is false.

4. Statement $1$ is false and statement $2$ is true.

Q. Convert the following improper fractions into mixed fractions:
(i) $\frac{7}{3}$
(ii) $\frac{11}{2}$
(iii) $\frac{9}{4}$
(iv) $\frac{27}{4}$

Q.

How many one-fourths need to be added to $2\frac{1}{4}$ to make 5?

1. 3

2. 5

3. 4

4. 11

Q. Write shaded portion as fraction. Arrange them in ascending or descending order using sign ${}^{\prime }{<}^{\prime }{,}^{\prime }{=}^{\prime }{,}^{\prime }{>}^{\prime }$ between the fractions.

Q. Which one of the following is true if a/b is a proper fraction?

1. a/b > 1
2. a < b
3. a = b
4. a > b

Q.

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, what is the value of ' a '?

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