Fractions Test

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Fractions Test - 19

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Weekly Quiz Competition

Question 1
1 / -0

Find $$\dfrac{2}{3}+\dfrac{3}{4}-\dfrac{2}{5}$$

A
$$1$$

B
$$2$$

C
$$\dfrac{61}{60}$$

D
$$\dfrac{109}{60}$$

Solution

Here, $$\dfrac{2}{3}+\dfrac{3}{4}-\dfrac{2}{5}$$
$$=\dfrac{40+45-24}{60}=\dfrac{61}{60}$$
Question 2
1 / -0

A proper fraction with denominator $$10$$ is

A
$$\dfrac{8}{7}$$

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

C
$$\dfrac{6}{10}$$

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

Solution

In a proper fraction numerator of the fraction is less than the denominator of the fraction. Also, the denominator must be $$10$$ according to the question.

Hence, option $$C$$ is correct.
Question 3
1 / -0

The sum of the fraction $$\dfrac{1}{18}$$ and $$\dfrac{1}{18}$$ is given by

A
$$\dfrac{1}{18}$$

B
$$\dfrac{1}{9}$$

C
$$\dfrac{2}{36}$$

D
$$\dfrac{36}{18}$$

Solution
Question 4
1 / -0

Which one of the following is an improper fraction

A
$$\dfrac{11}{4}$$

B
$$\dfrac{3}{8}$$

C
$$\dfrac{3}{4}$$

D
$$\dfrac{9}{11}$$

Solution

We have,
let, $$2\dfrac{3}{4}$$
$$=\dfrac{(4\times 2)+3}{4}$$
$$=\dfrac{8+3}{4}$$
$$=\dfrac{11}{4}$$
Hence, this is answer.
Question 5
1 / -0

The standard from of a rational number -225 / 465 is

A
$$\frac { -4 }{ 7 } $$

B
$$\frac { -6 }{ 7 } $$

C
$$\frac { -6 }{ 17 } $$

D
none of these

Solution

$$\dfrac{-225}{465}=\dfrac{-45}{93}=-\dfrac{15}{31}$$

Thus, option D is correct.
Question 6
1 / -0

Subtract : $$\dfrac {51}{8}$$ to $$\dfrac {23}{6}=$$

A
$$\dfrac {17}{8}$$

B
$$\dfrac {24}{7}$$

C
$$\dfrac {34}{9}$$

D
$$\dfrac {35}{8}$$

Solution

$$\dfrac{51}{8} - \dfrac{23}{6}$$

LCM of 6 and 8 is 24

So,

= $$\dfrac{153 - 92}{24} $$

= $$\dfrac{61}{24} $$
Question 7
1 / -0

The improper fraction is :

A
$$\dfrac { 12 }{ 15 } $$

B
$$\dfrac { 13 }{ 17 } $$

C
$$\dfrac { 16 }{ 21 } $$

D
$$\dfrac { 25 }{ 11 } $$

Solution

A fraction in which the numerator is greater than the denominator is an improper fraction.
$$(a)\dfrac{12}{15}:$$ Here $$12<15\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

$$(b)\dfrac{13}{17}:$$ Here $$13<17\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

$$(c)\dfrac{16}{21}:$$ Here $$16<21\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.

$$(d)\dfrac{25}{11}:$$ Here $$25>11\Rightarrow$$Numerator $$>$$ Denominator.Hence it is an improper fraction.
Question 8
1 / -0

Simplify:
$$\dfrac 1{-12}+\dfrac{2}{15}$$

A
$$\dfrac1{20}$$

B
$$\dfrac{-1}{20}$$

C
$$\dfrac1{2}$$

D
none of these

Solution

$$\dfrac{1}{-12} + \dfrac{2}{15}=\dfrac{-1}{12} + \dfrac{2}{15} = \dfrac{-5+2\times 4}{60} = \dfrac{-5+8}{60} = \dfrac{3}{60} = \dfrac{1}{20}$$
Question 9
1 / -0

Which of the following is a proper fraction?

A
$$5/3$$

B
$$5$$

C
$$2$$

D
none of these

Solution

If the numerator is less than the denominator then the fraction is called as proper fraction.
Hence none of these are proper fractions.
Question 10
1 / -0

Which of the following statements is correct?

A
$$3/4 < 3/5$$

B
$$3/4 > 3/5$$

C
$$3/4 \,and \,3/5$$

D
cannot be compared

Solution

Between the two fractions having the same numerator, the one with the smaller denominator is the greater factor.
Hence, $$3 / 4 > 3 / 5$$
Option (b) is correct answer

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Fractions Test - 19

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Fractions Test - 19

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Question 1

$$1$$

$$2$$

$$\dfrac{61}{60}$$

$$\dfrac{109}{60}$$

Solution

Question 2

$$\dfrac{8}{7}$$

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

$$\dfrac{6}{10}$$

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

Solution

Question 3

$$\dfrac{1}{18}$$

$$\dfrac{1}{9}$$

$$\dfrac{2}{36}$$

$$\dfrac{36}{18}$$

Solution

Question 4

$$\dfrac{11}{4}$$

$$\dfrac{3}{8}$$

$$\dfrac{3}{4}$$

$$\dfrac{9}{11}$$

Solution

Question 5

$$\frac { -4 }{ 7 } $$

$$\frac { -6 }{ 7 } $$

$$\frac { -6 }{ 17 } $$

none of these

Solution

Question 6

$$\dfrac {17}{8}$$

$$\dfrac {24}{7}$$

$$\dfrac {34}{9}$$

$$\dfrac {35}{8}$$

Solution

Question 7

$$\dfrac { 12 }{ 15 } $$

$$\dfrac { 13 }{ 17 } $$

$$\dfrac { 16 }{ 21 } $$

$$\dfrac { 25 }{ 11 } $$

Solution

Question 8

$$\dfrac1{20}$$

$$\dfrac{-1}{20}$$

$$\dfrac1{2}$$

none of these

Solution

Question 9

$$5/3$$

$$5$$

$$2$$

none of these

Solution

Question 10

$$3/4 < 3/5$$

$$3/4 > 3/5$$

$$3/4 \,and \,3/5$$

cannot be compared

Solution

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