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
1 / -0

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
1 / -0

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
1 / -0

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
1 / -0

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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Fractions and Decimals Test - 18

Result

Fractions and Decimals Test - 18

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Question 1

$$\frac {72}{6}$$

$$\frac {73}{6}$$

$$\frac {108}{6}$$

$$\frac {85}{6}$$

Solution

Question 2

$$\dfrac {3}{2}$$

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

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

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

Solution

Question 3

$$\dfrac {9}{7}$$

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

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

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

Solution

Question 4

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

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

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

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

Solution

Question 5

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

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

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

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

Solution

Question 6

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

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

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

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

Solution

Question 7

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

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

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

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

Solution

Question 8

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

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

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

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

Solution

Question 9

$$\dfrac {28}{13}$$

$$\dfrac {11}{23}$$

$$\dfrac {16}{9}$$

$$\dfrac {14}{3}$$

Solution

Question 10

$$\dfrac {25}{26}$$

$$\dfrac {12}{13}$$

$$\dfrac {15}{14}$$

$$\dfrac {19}{20}$$

Solution

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