Tag: multiplication of a fraction

Questions Related to multiplication of a fraction

Veronica can type 28 words per minute. At this rate, how many words can Veronica type in $\displaystyle 5 \frac{1}{2}$ minutes ?

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

  1. 154

  2. 156

  3. 159

  4. 162

Show answer
Correct Option: A
Explanation:

Veronica can type words in $1$ minute $=28$.


Veronica can type words in $5\dfrac{1}{2}$ minutes
$=5\dfrac{1}{2}\times 28$
$=154$

Hence, this is the answer.

Reciprocal of $\displaystyle \frac{6}{3}$ is

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

  1. $\displaystyle -\frac{6}{3}$

  2. $\displaystyle -\frac{3}{6}$

  3. $\displaystyle \frac{3}{6}$

  4. 36

Show answer
Correct Option: C
Explanation:
We find the reciprocal of a fraction we flip it.
The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted).
In this case, the reciprocal of 6/3 is 3/6.
So option C is the correct answer.

Indian cricket team won 4 more matches than it lost with New Zealand If it won $\displaystyle\frac{3}{5}$ of its matches how many matches did India play

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

  1. 8

  2. 12

  3. 16

  4. 20

Show answer
Correct Option: D
Explanation:

Let the number of matches lost = x
Number of matches won = x + 4
Total matches played = x + x +4
                                   = 2x + 4
We have,
x + 4 = $\displaystyle\frac{3}{5}\left ( 2x + 4 \right )$
5x + 20 = 6x + 12
x = 8
$\displaystyle\therefore $ total matches played = 2x + 4
$\displaystyle= 2\left ( 8 \right )+ 4= 20$

The equivalent fraction of $ \displaystyle \frac{10}{11}  $ having the numerator 40 is _________

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

  1. $ \displaystyle \frac{40}{11} $

  2. $ \displaystyle \frac{44}{40} $

  3. $ \displaystyle \frac{40}{44} $

  4. $ \displaystyle \frac{10}{40} $

Show answer
Correct Option: C
Explanation:

The equivalent to the given fraction 10/11 having the numerator 40 should have a denominator divisible by 11. The only option with a denominator divisible by 11 is option C. 44 is divisible by 11 and 40 is divisible by 10. So,

Option C is the correct answer.

The equivalent fraction of $ \displaystyle \frac{2}{3}  $ having the denominator 18 is

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

  1. $ \displaystyle \frac{2}{18} $

  2. $ \displaystyle \frac{18}{3} $

  3. $ \displaystyle \frac{12}{18} $

  4. $ \displaystyle \frac{18}{27} $

Show answer
Correct Option: C
Explanation:

Only options A and C have denominators 18 in their options.

If we change anything in the denominator, we have to do a change of the same value in the numerator also. In option A this property is not fulfilled.
However in option C we find (2×6)/(3×6)
Option C is the equivalent fraction
2/3≈12/18
So option C is the correct answer.

$ \displaystyle \frac{1}{5}\, of\,10 km=   $ _____m

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

  1. 2

  2. 200

  3. 20

  4. 2000

Show answer
Correct Option: D
Explanation:

$ \displaystyle \frac{1}{5}  $ of 10 km 

$ \displaystyle \frac{1}{5}\times10 \ km  $= 2 km=2000 m

If $ \displaystyle \frac{2}{5}=\frac{x}{15}$ then what is the value of x

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

  1. 2

  2. 3

  3. 5

  4. 6

Show answer
Correct Option: D
Explanation:
$ \displaystyle \frac{2}{5}=\frac{x}{15}$
$ \displaystyle \frac{2}{5}= \frac{2}{5}\times\frac{3}{3}=\frac{6}{15}  $
$\therefore$ x is  6.

If  $ \displaystyle \frac{25}{30}= \frac{x}{6}  $ then  what is the value of x

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

  1. 6

  2. 4

  3. 5

  4. 3

Show answer
Correct Option: C
Explanation:
$ \displaystyle \frac{25}{30}= \frac{x}{6}  $
$ \displaystyle \frac{25}{30}=\frac{25\div 5}{30\div 5}=\frac{5}{6}  $
$\therefore$ x is 5

State whether True or False.
$\dfrac{\sqrt{3}}{2}$ and $\dfrac{2\sqrt{3}}{3}$ are reciprocals.

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

  1. True

  2. False

Show answer
Correct Option: A
Explanation:
Yes: The product of a number and its reciprocal must equal 1. 
To test whether or not two numbers are reciprocals, multiply them. 
If the product is 1, they are reciprocals; if it is not, they are not:

$\displaystyle \frac{\sqrt{3}}{2}\times \frac{2\sqrt{3}}{3}=\frac{2(\sqrt{3})^2}{2(3)} = \frac{6}{6}=1$ 

Thus, the numbers are indeed reciprocals.
GIven statement is true.

Rename the following fraction as percents.
$\cfrac { 44 }{ 400 } $

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

  1. $10\%$

  2. $11\%$

  3. $!2\%$

  4. $13\%$

Show answer
Correct Option: B
Explanation:

When we talk about percents, we should multiply the number with $100$


So, the given fraction in percents is $\dfrac{44}{400} \times 100 = \dfrac{4400}{400} = 11$ $\%$