Tag: multiplication of fraction

Questions Related to multiplication of fraction

$\displaystyle  \frac { 1 }{ 6 } $ of 48 liter = ........ liter 

  1. 7

  2. 1

  3. 8

  4. 6


Correct Option: C
Explanation:

1/6 of 48 liter

= (1/6)*48 liter
=8 liter

$\displaystyle 18\quad of\frac { 1 }{ 6 } $ is -

  1. $\displaystyle \frac { 1 }{ 108 } $

  2. 3

  3. -3

  4. None of these


Correct Option: B
Explanation:
Foundation chapter & CO
Given $18$ of $\dfrac{1}{6}$
$18\times \dfrac{1}{6}$
$\Rightarrow 3$

$\displaystyle  \frac { 2 }{ 4 }$ of a rupee = .......paise 

  1. 20

  2. 50

  3. 40

  4. 10


Correct Option: B
Explanation:

1 rupee=100 paise

so 2/4 of a rupee=(2/4)*100=50 paise

Two-fifth of $10$ litre $=$  _____ litres

  1. $2$

  2. $3$

  3. $4$

  4. $5$


Correct Option: C
Explanation:

$\dfrac{2}{5} $ of $10$ litre $=\dfrac{2}{5}\times 10=4$ litres.


Hence, the answer is $4$

The reciprocal of $15$ is ___.

  1. $15$

  2. $\displaystyle \frac{15}{1}$

  3. $\displaystyle \frac{1}{15}$

  4. $1$


Correct Option: C
Explanation:
In the reciprocal, the numerator and the denominator are interchanged.
So, the reciprocal of $15$ is $\dfrac{1}{15}$.
Hence, the answer is $\dfrac{1}{15}$.

The reciprocal of $6-\sqrt{5}$ is equal to

  1. $\dfrac{3-\sqrt{5}}{8}$

  2. $\dfrac{6+\sqrt{5}}{31}$

  3. $\dfrac{6+2\sqrt{5}}{41}$

  4. $\dfrac{6-2\sqrt{5}}{56}$

  5. $\dfrac{6+2\sqrt{5}}{56}$


Correct Option: B
Explanation:

The reciprocal of $6-\sqrt5$ is $\dfrac{1}{(6-\sqrt5)}$
Multiply and divide it by $6+\sqrt5$ , we get $\dfrac{6+\sqrt5}{(6+\sqrt5)(6-\sqrt5)} = \dfrac{6+\sqrt5}{31}$

Find the reciprocal of $\dfrac23 \div \dfrac{14}{15}$

  1. $\dfrac57$

  2. $\dfrac56$

  3. $\dfrac32$

  4. $\dfrac75$


Correct Option: D
Explanation:

$\dfrac{2}{3} \div \dfrac{14}{15} = \dfrac{2\times15}{3\times14}$


                $= \dfrac{30}{42}$

                $= \dfrac{5\times6}{7\times6}$

                $= \dfrac{5}{7}$

Reciprocal of $\dfrac{5}{7}$ is $\dfrac{7}{5}$

Multiply the following. Write the answer as a mixed fraction.
$\cfrac { 6 }{ 7 } \times 2$

  1. True

  2. False


Correct Option: A
Explanation:

$\dfrac{6}{7} \times 2$


Can be written as


$=\dfrac{12}{7} $

$=1\dfrac{5}{7} $

Find the following product:
$6\times \cfrac { 1 }{ 5 } $


$1\cfrac { 2 }{ 5 } $

  1. True

  2. False


Correct Option: B

Rehna works $2\cfrac { 1 }{ 2 } $ hours each day on her embroidery. She completes the work in $7$ days. How many hours did she take to complete her work?


Ans : $17\cfrac { 1 }{ 2 } $ hrs.

  1. True

  2. False


Correct Option: A
Explanation:

Rehana works $2\dfrac{1}{2}$ hrs $= 150 $minutes


As she completed her work in $7$ days,

$150 \times 7 = 1050$ minutes = $\dfrac{1050}{60}$ hours

$=\dfrac{35}{2}$ hours $=17\dfrac{1}{2}$ hours


So, Rehana took $17\dfrac{1}{2}$ hours to complete her work.