Fractions Test

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Fractions Test - 26

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Weekly Quiz Competition

Question 1
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Shabana has to stitch 35 dresses. So, ar she has stitched 21 dresses. What fraction of dresses has she stitched ?

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

B
$$\dfrac{3}{5}$$

C
$$\dfrac{6}{5}$$

D
$$\dfrac{3}{7}$$

Solution

Number of dresses she had to stiches $$ = 35$$
Number of dresses she has finished $$= 21$$
$$\therefore$$ Fraction of dresses she has finished $$= \dfrac{21}{35} =\dfrac{3}{5}$$
Question 2
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Which of the following is not in the lowest form?

A
$$ \dfrac{7}{5} $$

B
$$ \dfrac{15}{20} $$

C
$$ \dfrac{13}{33} $$

D
$$ \dfrac{27}{28} $$

Solution

In case of $$ \dfrac{5}{7} $$, the common factor of $$ 7 $$ and $$ 5 $$ is $$ 1 $$.
Hence, already given in the simplest form.
In case of $$ \dfrac{15}{20} $$, the common factor of 15 and 20 is 4.
In case of $$ \dfrac{13}{33} $$, the common factor of 13 and 33 is 1.
Hence, already given in the simplest form.
In case of $$ \dfrac{27}{28}, $$ the common factor of 27 and 28 is 1.
Hence, already given in the simplest form.
Hence, $$ \dfrac{15}{20} $$ not given in the simplest form.
Question 3
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On subtracting $$ \dfrac{5}{9} $$ from $$ \dfrac{19}{9} $$, the result is

A
$$ \dfrac{24}{9} $$

B
$$ \dfrac{14}{9} $$

C
$$ \dfrac{14}{18} $$

D
$$ \dfrac{14}{0} $$

Solution

Solution $$ B $$ is right.

$$ \dfrac { 5}{9} $$ from $$ \dfrac {19}{9} $$

Take the $$ LCM $$ of denominators

$$ \Rightarrow \dfrac {19}{9} = \dfrac {5}{8} = \dfrac { 19-5}{9} $$

$$ = \dfrac {14}{9} $$

Thus required fraction is $$ \dfrac {14}{9} $$
Question 4
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$$\cfrac{3}{10}+\cfrac{8}{15}$$=?

A
$$\cfrac{3}{4}$$

B
$$\cfrac{11}{15}$$

C
$$\cfrac{5}{6}$$

D
none of these

Solution

$$\cfrac{3}{10}+\cfrac{8}{15}$$
$$LCM$$ of $$10$$ and $$15$$ is $$30$$
So, we will write these fractions with $LCM$$ as their denominator.
$$\therefore \cfrac3{10}=\cfrac{3\times 3}{10\times 3}=\cfrac{9}{30}$$
And, $$\cfrac{8}{15}=\cfrac{8\times 2}{15\times 2}=\cfrac{16}{30}$$
$$\therefore \cfrac{3}{10}+\cfrac{8}{15}=\cfrac{9}{30}+\cfrac{16}{30}$$
$$=\cfrac{9+16}{30}$$
$$=\cfrac{25}{30}$$
$$=\cfrac{5\times 5}{5\times 6}$$
$$=\cfrac{5}{6}$$
Henc. option $$C$$ is correct
Question 5
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$$ \dfrac{11}{7} $$ can be expressed in the form

A
$$ 7 \dfrac{1}{4} $$

B
$$ 4 \dfrac{1}{7} $$

C
$$ 1 \dfrac{4}{7} $$

D
$$ 11 \dfrac{1}{7} $$

Solution

The mix fraction of $$ \dfrac {11}{7} $$ is $$ 1 \dfrac {4}{7} $$
Question 6
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Which of the following fraction is the greatest?

A
$$ \dfrac{5}{7} $$

B
$$ \dfrac{5}{6} $$

C
$$ \dfrac{5}{9} $$

D
$$ \dfrac{5}{8} $$

Solution

In the above option given that , among the entire fraction with same numerator , the one with smaller denominator will be greatest.
Thus required fraction is $$ \dfrac {5}{6} $$
Question 7
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The mixed fraction $$ 5 \dfrac{4}{7} $$ can be expressed as

A
$$ \dfrac{33}{7} $$

B
$$ \dfrac{39}{7} $$

C
$$ \dfrac{33}{4} $$

D
$$ \dfrac{39}{4} $$

Solution

$$ \because 5 \dfrac {4}{7} = \dfrac { ( 7 \times 5) + 4 }{7} = \dfrac { 35 +4 }{7} $$

$$ = \dfrac {39}{5} $$
Question 8
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Sum of $$ \dfrac{4}{17} $$ and $$ \dfrac{15}{17} $$is.

A
$$ \dfrac{19}{17} $$

B
$$ \dfrac{11}{17} $$

C
$$ \dfrac{19}{34} $$

D
$$ \dfrac{2}{17} $$

Solution

Option $$ A $$ is right.
$$ \dfrac {4}{17} $$ and $$ \dfrac {15}{17} $$
take the $$ LCM $$ of denominators
$$ \Rightarrow \dfrac {4}{17} + \dfrac {15}{17} = \dfrac { 4 +15}{17} $$
$$ = \dfrac {19}{17} $$
Thus required fraction is $$ \dfrac {19}{17} $$
Question 9
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Multiple Questions.
Which of the following fractions is the greatest ?

A
$$\dfrac{5}{6}$$

B
$$\dfrac{5}{7}$$

C
$$\dfrac{5}{8}$$

D
$$\dfrac{5}{9}$$

Solution

$$\dfrac{5}{6}$$ $$\left(a\right)$$, as it's denominator is the least
Question 10
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To reduce a rational number to its standard form, we divide its numerator and denominator by their

A
LCM

B
HCM

C
product

D
multiple

Solution

For standard form, we have to divide numerator and denominator by their highest common factor(HCF).

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Re-Attempt Weekly Quiz Competition

Fractions Test - 26

Result

Fractions Test - 26

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Question 1

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

$$\dfrac{3}{5}$$

$$\dfrac{6}{5}$$

$$\dfrac{3}{7}$$

Solution

Question 2

$$ \dfrac{7}{5} $$

$$ \dfrac{15}{20} $$

$$ \dfrac{13}{33} $$

$$ \dfrac{27}{28} $$

Solution

Question 3

$$ \dfrac{24}{9} $$

$$ \dfrac{14}{9} $$

$$ \dfrac{14}{18} $$

$$ \dfrac{14}{0} $$

Solution

Question 4

$$\cfrac{3}{4}$$

$$\cfrac{11}{15}$$

$$\cfrac{5}{6}$$

none of these

Solution

Question 5

$$ 7 \dfrac{1}{4} $$

$$ 4 \dfrac{1}{7} $$

$$ 1 \dfrac{4}{7} $$

$$ 11 \dfrac{1}{7} $$

Solution

Question 6

$$ \dfrac{5}{7} $$

$$ \dfrac{5}{6} $$

$$ \dfrac{5}{9} $$

$$ \dfrac{5}{8} $$

Solution

Question 7

$$ \dfrac{33}{7} $$

$$ \dfrac{39}{7} $$

$$ \dfrac{33}{4} $$

$$ \dfrac{39}{4} $$

Solution

Question 8

$$ \dfrac{19}{17} $$

$$ \dfrac{11}{17} $$

$$ \dfrac{19}{34} $$

$$ \dfrac{2}{17} $$

Solution

Question 9

$$\dfrac{5}{6}$$

$$\dfrac{5}{7}$$

$$\dfrac{5}{8}$$

$$\dfrac{5}{9}$$

Solution

Question 10

LCM

HCM

product

multiple

Solution

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