Fractions and Decimals Test

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Fractions and Decimals Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

Improper fraction of $12\frac {1}{6}$ is

A
$\frac {72}{6}$

B
$\frac {73}{6}$

C
$\frac {108}{6}$

D
$\frac {85}{6}$

Solution

$\frac {WN\times D+N}{D}$
$\frac {12\times 6+1}{6}=\frac {72+1}{6}=\frac {73}{6}$
Question 2
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The above image represents the fraction:

A
$\dfrac {3}{2}$

B
$2\dfrac {1}{3}$

C
$2\dfrac {1}{2}$

D
$3\dfrac {1}{2}$

Solution

In the given image, clearly there are 2 full shaded parts and one half shaded part.
Therefore, figure represent $2+\displaystyle \frac12$
$\Rightarrow 2\displaystyle \frac12$

Hence, option C is correct.
Question 3
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The above figure represents which of the following fractions?

A
$\dfrac {9}{7}$

B
$2\dfrac {1}{2}$

C
$4\dfrac {1}{2}$

D
$2\dfrac {1}{4}$

Solution

Clearly, four circles are completely shaded and in the fifth one, half is shaded of the whole.
$\therefore$ we represent this $4+\dfrac 12 = 4\dfrac 12$
Hence, the answer is $4\dfrac{1}{2}$ .
Question 4
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Mixed fraction for $\displaystyle \frac{40}{12}$ is

A
$\displaystyle 3 \frac{1}{12}$

B
$\displaystyle 3 \frac{2}{12}$

C
$\displaystyle 3 \frac{4}{12}$

D
$\displaystyle 2 \frac{14}{12}$

Solution

$\dfrac { 40 }{ 12 } =\dfrac { 12\times 3+4 }{ 12 } =3\dfrac { 4 }{ 12 }$
So correct answer will be option C
Question 5
1 / -0

Mixed fraction of $\dfrac {39}{12}$ is

A
$3\dfrac {1}{12}$

B
$3\dfrac {2}{12}$

C
$3\dfrac {3}{12}$

D
$2\dfrac {14}{12}$

Solution

A Mixed Fraction is a whole number and a proper fraction combined.
Divide the numerator by the denominator.
Write down the whole number answer
Then write down any remainder above the denominator.

$\dfrac{39}{12}=\dfrac{36}{12}+\dfrac{3}{12}=3+\dfrac{3}{12}=3\dfrac{3}{12}$
Question 6
1 / -0

represents

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

B
$\displaystyle 2\frac{1}{3}$

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

D
$\displaystyle 3\frac{1}{2}$

Solution

Since 2 wholes and half of third rectangle is shaded, the given figure represents $2 \frac {1}{2}$
Question 7
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Which one is the example of improper fraction from the given options ?

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

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

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

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

Solution

In an improper fraction, the numerator is greater than the denominator.
Of the given fractions, $\displaystyle \frac {23}{22}$ has numerator greater than the denominator.

Hence, $\displaystyle \frac {23}{22}$ is an improper fraction.
Question 8
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Example of proper fraction from the given options is _____

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

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

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

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

Solution

In a proper fraction, the numerator is smaller than the denominator. Of the given fractions, $\displaystyle \frac {5}{7}$ has numerator smaller than the denominator.

Hence, $\displaystyle \frac {5}{7}$ is a proper fraction.
Question 9
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Example for a proper fraction is

A
$\dfrac {28}{13}$

B
$\dfrac {11}{23}$

C
$\dfrac {16}{9}$

D
$\dfrac {14}{3}$

Solution

A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number).
In given options $\displaystyle \frac{11}{23}$ is proper fraction.
Question 10
1 / -0

Example for an improper fraction from the given options is

A
$\dfrac {25}{26}$

B
$\dfrac {12}{13}$

C
$\dfrac {15}{14}$

D
$\dfrac {19}{20}$

Solution

In an improper fraction, the numerator is greater than the denominator.
Of the given fractions, $\displaystyle \frac {15}{14}$ has numerator greater than the denominator.
Hence, $\displaystyle \frac {15}{14}$ is a proper fraction.

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Re-Attempt Weekly Quiz Competition

Fractions and Decimals Test - 18

Result

Fractions and Decimals Test - 18

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Question 1

726\frac {72}{6}672​

736\frac {73}{6}673​

1086\frac {108}{6}6108​

856\frac {85}{6}685​

Solution

Question 2

32\dfrac {3}{2}23​

2132\dfrac {1}{3}231​

2122\dfrac {1}{2}221​

3123\dfrac {1}{2}321​

Solution

Question 3

97\dfrac {9}{7}79​

2122\dfrac {1}{2}221​

4124\dfrac {1}{2}421​

2142\dfrac {1}{4}241​

Solution

Question 4

3112\displaystyle 3 \frac{1}{12}3121​

3212\displaystyle 3 \frac{2}{12}3122​

3412\displaystyle 3 \frac{4}{12}3124​

21412\displaystyle 2 \frac{14}{12}21214​

Solution

Question 5

31123\dfrac {1}{12}3121​

32123\dfrac {2}{12}3122​

33123\dfrac {3}{12}3123​

214122\dfrac {14}{12}21214​

Solution

Question 6

32\displaystyle \frac{3}{2}23​

213\displaystyle 2\frac{1}{3}231​

212\displaystyle 2\frac{1}{2}221​

312\displaystyle 3\frac{1}{2}321​

Solution

Question 7

23\displaystyle \frac{2}{3}32​

12\displaystyle \frac{1}{2}21​

2322\displaystyle \frac{23}{22}2223​

1115\displaystyle \frac{11}{15}1511​

Solution

Question 8

57\displaystyle \frac{5}{7}75​

43\displaystyle \frac{4}{3}34​

1615\displaystyle \frac{16}{15}1516​

2221\displaystyle \frac{22}{21}2122​

Solution

Question 9

2813\dfrac {28}{13}1328​

1123\dfrac {11}{23}2311​

169\dfrac {16}{9}916​

143\dfrac {14}{3}314​

Solution

Question 10

2526\dfrac {25}{26}2625​

1213\dfrac {12}{13}1312​

1514\dfrac {15}{14}1415​

1920\dfrac {19}{20}2019​

Solution

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$\frac {72}{6}$

$\frac {73}{6}$

$\frac {108}{6}$

$\frac {85}{6}$

$\dfrac {3}{2}$

$2\dfrac {1}{3}$

$2\dfrac {1}{2}$

$3\dfrac {1}{2}$

$\dfrac {9}{7}$

$2\dfrac {1}{2}$

$4\dfrac {1}{2}$

$2\dfrac {1}{4}$

$\displaystyle 3 \frac{1}{12}$

$\displaystyle 3 \frac{2}{12}$

$\displaystyle 3 \frac{4}{12}$

$\displaystyle 2 \frac{14}{12}$

$3\dfrac {1}{12}$

$3\dfrac {2}{12}$

$3\dfrac {3}{12}$

$2\dfrac {14}{12}$

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

$\displaystyle 2\frac{1}{3}$

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

$\displaystyle 3\frac{1}{2}$

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

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

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

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

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

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

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

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

$\dfrac {28}{13}$

$\dfrac {11}{23}$

$\dfrac {16}{9}$

$\dfrac {14}{3}$

$\dfrac {25}{26}$

$\dfrac {12}{13}$

$\dfrac {15}{14}$

$\dfrac {19}{20}$