Tag: multiplication of a fraction

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Questions Related to multiplication of a fraction

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

By what number should we multiply ${(-8)}^{-1}$ to obtain ${12}^{-1}$?

  1. $\dfrac{1}{4}$
  2. $\dfrac{-2}{3}$
  3. $-2$
  4. $\dfrac{-3}{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be $n$

then, 
        ${\left( { - 8} \right)^{ - 1}} \times x = {\left( {12} \right)^{ - 1}}$

        $= \dfrac{{ - 1}}{8} \times x = \dfrac{1}{{12}}$    $\because \left[ {{{\left( {\dfrac{a}{b}} \right)}^{ - n}} = {{\left( {\dfrac{b}{a}} \right)}^n}} \right]$

       $ = x = \dfrac{1}{{12}} \times  - 8$ 

       $ = x = \dfrac{{ - 2}}{3}$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

A farmer has 192 animals, out of which $\dfrac{7}{16}$ are cattles. $\dfrac{2}{3}$ of cattles are dairy cows. How many dairy cows he has?

  1. $128$
  2. $84$
  3. $56$
  4. $112$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total number of Animals $=192$


Total number of Cattles $=\dfrac{7}{16}\times$ No. Of Animals $=\dfrac{7}{16}\times 192 = 84$

Total number of Dairy Cows $=\dfrac{2}{3}\times$ No. Of Battles $=\dfrac{2}{3}\times 84 = 56$

$\therefore$  The farmer has $56$  dairy cows

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Solve: $2 \dfrac { 1 } { 2 } \mathrm {  } \text { of } 10 \mathrm { cm }$

  1. 30 cm

  2. 25 cm

  3. 20 cm

  4. 50 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given $2 \dfrac { 1 } { 2 } \mathrm {  } \text { of } 10 \mathrm { cm }$


$=2\dfrac{1}{2}\times 10$

$=\dfrac{2\cdot2+1}{2}\times 10$

$=\dfrac{5}{2}\times 10$

$=5\times 5=25$

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

Simplify the expression $2\dfrac{1}{4}\times \dfrac{5}{12}+\dfrac{1}{2}$

  1. $\dfrac{23}{16}$
  2. $5\dfrac{5}{2}$
  3. $4\dfrac{3}{3}$
  4. $3\dfrac{1}{5}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$2\cfrac { 1 }{ 4 } \times \cfrac { 5 }{ 12 } +\cfrac { 1 }{ 2 } $


$=\cfrac { 9 }{ 4 } \times \cfrac { 5 }{ 12 } +\cfrac { 1 }{ 2 } $

$ =\cfrac { 15 }{ 16 } +\cfrac { 1 }{ 2 } $

$ =\cfrac { 15+8 }{ 16 } $

$ =\cfrac { 23 }{ 16 } $

Multiple choice maths parts and whole multiplication of a fraction multiplication of a fractions multiplication of fraction finding the whole when a fraction is given

What is the product $\displaystyle \left ( 1-\frac{1}{2} \right )\left ( 1-\frac{1}{3} \right )\left ( 1-\frac{1}{4} \right )......\left ( 1-\frac{1}{n} \right )$ equal to  when simplified?

  1. $\displaystyle \frac{1}{n}$
  2. $1$
  3. $2$
  4. $0$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\displaystyle \left ( 1-\frac{1}{2} \right )\left ( 1-\frac{1}{3} \right )\left ( 1-\frac{1}{4} \right )......\left ( 1-\frac{1}{n} \right )=\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times ......\times \frac{n-2}{n-1}\times \frac{n-1}{n}=\frac{1}{n}$