Tag: multiplication of a fractions

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Questions Related to multiplication of a fractions

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

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

  1. 154

  2. 156

  3. 159

  4. 162
Reveal answer Fill a bubble to check yourself
A Correct answer
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.

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

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

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

  4. 36
Reveal answer Fill a bubble to check yourself
C Correct answer
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.
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

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

  1. 8

  2. 12

  3. 16

  4. 20
Reveal answer Fill a bubble to check yourself
D Correct answer
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
$\displaystyle= 2\left ( 8 \right )+ 4= 20$

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

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

  1. $ \displaystyle \frac{40}{11} $
  2. $ \displaystyle \frac{44}{40} $
  3. $ \displaystyle \frac{40}{44} $
  4. $ \displaystyle \frac{10}{40} $
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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

  1. $ \displaystyle \frac{2}{18} $
  2. $ \displaystyle \frac{18}{3} $
  3. $ \displaystyle \frac{12}{18} $
  4. $ \displaystyle \frac{18}{27} $
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
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.
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

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

  1. $10\%$
  2. $11\%$
  3. $!2\%$
  4. $13\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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


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