Fractions Test

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Fractions Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

A fraction of the group of marbles below is shaded.
Which figure below is shaded to represent a fraction with the same value?

A

B

C

D

Solution

In the given set of marbles, there are a total of $8$ marbles and $6$ marbles are shaded amongst them. Therefore, the ratio of shaded marbles to the total number of marbles is:

$\dfrac {Shaded}{Total}=\dfrac { 6 }{ 8 } =\dfrac { 3 }{ 4 }$

(a) In the given set of squares, there are a total of $6$ squares and $1$ squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 6 }$

Hence, the fraction $\dfrac {1}{6}$ is not same as the given fraction $\dfrac {3}{4}$

(b) In the given set of squares, there are a total of $6$ squares and $2$ squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$\dfrac {Shaded}{Total}=\dfrac { 2 }{ 6 }=\dfrac {1}{3}$

Hence, the fraction $\dfrac {1}{3}$ is not same as the given fraction $\dfrac {3}{4}$

(c) In the given set of rectangles, there are a total of $4$ rectangles and $2$ rectangles are shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$\dfrac {Shaded}{Total}=\dfrac { 2 }{ 4 }=\dfrac {1}{2}$

Hence, the fraction $\dfrac {1}{2}$ is not same as the given fraction $\dfrac {3}{4}$

(d) In the given set of rectangles, there are a total of $4$ rectangles and $3$ rectangles are shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$\dfrac {Shaded}{Total}=\dfrac { 3 }{ 4 }$

Hence, the fraction $\dfrac {3}{4}$ is same as the given fraction $\dfrac {3}{4}$ .
Question 2
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$\displaystyle 4\frac{7}{11}$ = $\displaystyle \frac{?}{11}$

A
$44$

B
$7$

C
$51$

D
$28$

Solution

$\displaystyle 4 \frac{7}{11} = \frac{4 \times 11 + 7}{11} = \frac{51}{11}$
Question 3
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Which of the following is a proper fraction?

A

B

C

D
All the above

Solution

We know that a proper fraction is a fraction that is less than $1$ , with the numerator less than the denominator.

(a) In the given, rectangular object, there are a total of $8$ squares and $4$ of them are shaded, therefore, the fraction will be as follows:

$\dfrac {Shaded}{Total}=\dfrac {4}{8}=\dfrac {1}{2}=0.5<1$

Hence, $\dfrac {1}{2}$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $1$

(b) In the given, rectangular object, there are a total of $9$ squares and $6$ of them are shaded, therefore, the fraction will be as follows:

$\dfrac {Shaded}{Total}=\dfrac {6}{9}=\dfrac {2}{3}=0.66<1$

Hence, $\dfrac {2}{3}$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $1$

(a) In the given, triangular object, there are a total of $4$ triangles and $1$ of them is shaded, therefore, the fraction will be as follows:

$\dfrac {Shaded}{Total}=\dfrac {1}{4}=0.25<1$

Hence, $\dfrac {1}{4}$ is a proper fraction because the numerator is less than the denominator and the fraction is less than $1$

The result is that all the given options are proper fractions.
Question 4
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Example for a proper fraction is

A
$\displaystyle \frac {28}{13}$

B
$\displaystyle \frac {11}{23}$

C
$\displaystyle \frac {16}{9}$

D
$\displaystyle \frac {14}{3}$

Solution

Proper fraction is a fraction in which the numerator is less than the denominator, for example $\dfrac {11}{23}$ .

Hence, $\dfrac {11}{23}$ is a proper fraction.
Question 5
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Which of the following is a proper fraction ?

A

B

C

D
All the above

Solution

Fraction is proper if the denominator is greater than the numerator.
Fraction is improper if the numerator is greater than or equal to the denominator.
fig A = $\cfrac{4}{8}$ = proper fraction
fig B = $\cfrac{6}{9}$ = proper fraction
fig C = $\cfrac{1}{4}$ = proper fraction
Question 6
1 / -0

Example of improper fraction is ________

A
$\displaystyle \frac{2}{3}$

B
$\displaystyle \frac{1}{2}$

C
$\displaystyle \frac{23}{22}$

D
$\displaystyle \frac{11}{15}$

Solution

When the numerator is greater than the denominator, it is called an improper fraction.
So only $\dfrac{23}{22}$ is an improper fraction.
Hence, the answer is $\dfrac{23}{22}$ .
Question 7
1 / -0

Example of proper fraction is _________

A
$\displaystyle \frac{5}{7}$

B
$\displaystyle \frac{4}{3}$

C
$\displaystyle \frac{16}{15}$

D
$\displaystyle \frac{22}{21}$

Solution

When the numerator is less than the denominator, it is called a proper fraction.
So only $\dfrac{5}{7}$ is a proper fraction.
Hence, the answer is $\dfrac{5}{7}$ .
Question 8
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$\displaystyle 1\frac{3}{4}$ is a _______ fraction.

A
Proper

B
improper

C
mixed

D
None of the above

Solution

$1\dfrac{3}{4}$ is a mixed fraction because it has both integer and a proper fraction.
Hence, the answer is 'mixed'.
Question 9
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_____ $\displaystyle -\dfrac{3}{7}=\dfrac{3}{7}$

A
$0$

B
$1$

C
$\displaystyle \frac{3}{7}$

D
$\displaystyle \frac{6}{7}$

Solution

What should be subtracted from $\dfrac{3}{7}$ so that we would get $\dfrac{3}{7}$
So if we subtract $\dfrac{6}{7}$ from $\dfrac{3}{7}$ , then we will get $\dfrac{3}{7}$ .
Hence, the answer is $\dfrac{6}{7}$ .
Question 10
1 / -0

$\displaystyle \frac { 3 }{17}+ ......... = \frac { 3 }{ 17 }$ , find the missing value.

A
$1$

B
$0$

C
$\displaystyle \frac { 3 }{17}$

D
$\displaystyle \frac { 2 }{17}$

Solution

Mising value is $=\displaystyle \frac { 3 }{17}-\frac { 3 }{ 17 }$

$=0$