Tag: multiplication of fraction

Questions Related to multiplication of fraction

The reciprocal of 14 is

  1. $\displaystyle \frac { 14 }{ 1 }$

  2. $\displaystyle \frac { 1 }{ 14 }$

  3. 14

  4. 1


Correct Option: B
Explanation:
remember
whenever asked reciprocal of a number just exchange the numerator and the denominator..
hence reciprocal of 14 is 1/14..

Reciprocal of $\displaystyle \frac {7} {2} $ is-

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

  2. $\displaystyle \frac {2} {7} $

  3. $\displaystyle \frac {7} {2} $

  4. None of these


Correct Option: B
Explanation:

reciprocal of 7/2 is 2/7..

Product of $\displaystyle \frac {10} {11} \times \frac {15} {3}\times \frac {0} {5}$ is

  1. $\displaystyle \frac {10} {33} $

  2. 0

  3. $\displaystyle \frac {150} {495} $

  4. None of these


Correct Option: B
Explanation:

zero multiplied by any number is zero..

So $\dfrac{10}{11}\times \dfrac{15}{3}\times\dfrac{0}{5}=0 $

$\displaystyle 20\times \frac {1} {4}\times .........= 0 $

  1. 5

  2. 6

  3. 0

  4. None of these


Correct Option: C
Explanation:

zero multiplied by any number is zero

Hence, $\displaystyle 20\times \frac {1} {4}\times 0= 0 $

If  $ \displaystyle \left | x \right | =\left | \frac{-3}{5} \right |  $ and  $ \displaystyle \left | y \right | =\left | \frac{4}{-7} \right |  $ find  $ \displaystyle \left | x \right | \times\left | y \right |  $ 

  1. $ \displaystyle \frac{12}{35} $

  2. 1

  3. 0

  4. $ \displaystyle \frac{35}{12} $


Correct Option: A
Explanation:

$ \displaystyle \left | x \right | =\left | \frac{-3}{5} \right |  $ and  $ \displaystyle \left | y \right | =\left | \frac{4}{-7} \right |  $ 

Since $|x|=|-x|$, therefore $|x|\times |y|=\dfrac{3}{5}\times \dfrac{4}{7}=\dfrac{12}{35}$

Product of $\dfrac {12}{24}$ and $\dfrac {36}{72}$ is

  1. $\dfrac {16}{24}$

  2. $\dfrac {3}{5}$

  3. $4$

  4. $\dfrac {1}{4}$


Correct Option: D
Explanation:

(12/24)×(36/72)

=(1/2)×(3/6)
=(1/2)×(1/2)
=1/4
So option D is the correct answer.

Multiply $1\frac {1}{3}\times 3\frac {1}{4}\times \frac {7}{8}$

  1. $3\frac {18}{24}$

  2. $2\frac {19}{24}$

  3. $3\frac {19}{24}$

  4. $2\frac {18}{24}$


Correct Option: C
Explanation:

To multiply mixed fractions we convert them into improper fractions.

In the question, 1 whole 1/3× 3 whole 1/4 ×7/8
(3×1+1)/3×(4×3+1)/4×7/8
=4/3×13/4×7/8
=2/3×13/4×7/4
=1/3×13/2×7/4
=91/24
=3 whole 19/24
So, option C is the correct answer.

The daily consumption of milk of a family is $3\dfrac {1}{4}$ litres. The quantity of milk consumed by the family during the month of June 2008 is

  1. $90$ litres

  2. $100\dfrac {1}{2}litres$

  3. $97\dfrac {1}{2} litres$

  4. none of these


Correct Option: C
Explanation:

June 2008 has 30 days.
$30\times 3\dfrac {1}{4}=30\times \dfrac {13}{4}=97\dfrac {1}{2} litres$.

Ravi had $\dfrac {5}{6}$ of a cake. He ate $\dfrac {2}{3}$ of it. What part of the cake did he eat?

  1. $\dfrac {5}{9}$

  2. $\dfrac {10}{12}$

  3. $\dfrac {10}{6}$

  4. $\dfrac {10}{3}$


Correct Option: A
Explanation:

$=\dfrac {5}{6}\times \dfrac {2}{3}=\dfrac {10}{18}=\dfrac {5}{9}$

The product of a fractional number and its multiplicative inverse is

  1. 0

  2. 1

  3. number itself

  4. none of these


Correct Option: B
Explanation:

If the product of two numbers is 1, then each number is known as multiplicative inverse or the reciprocal of one another. ... Hence, the product of a fractional number and its multiplicative inverse is 1