Tag: simplest ratio

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Questions Related to simplest ratio

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

The rational form of $-25.6875$ is

  1. $\displaystyle-\frac{411}{16}$
  2. $\displaystyle-\frac{421}{16}$
  3. $\displaystyle-\frac{431}{16}$
  4. $\displaystyle-\frac{441}{16}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Consider the given decimal number

$ \Rightarrow -25.6875 $

$ \Rightarrow -\dfrac{256875}{10000} $

$ \Rightarrow -\dfrac{51375}{2000} $

$ \Rightarrow -\dfrac{10275}{400} $

$ \Rightarrow -\dfrac{2055}{80} $

$ \Rightarrow -\dfrac{411}{16} $


Hence, this is the answer.

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

Decimal for $79\%$ is  ____ 

  1. $7.9$
  2. $0.79$
  3. $79.00$
  4. $1.79$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$79\% = 0.79$ in decimal form. Percent means 'per $100$'. 


So, $79\%$ means $79$ per $100$ or simply $\dfrac{79}{100}$.

If you divide $79$ by $100$, you'll get $0.79$ (a decimal number).

So option B is the correct answer.

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

The fraction equivalent to $\displaystyle \frac {1} {3} $ is ................

  1. $\displaystyle \frac {3} {9} $
  2. $\displaystyle \frac {5} {15} $
  3. $\displaystyle \frac {6} {18} $

  4. All the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

3×3=9 so 3/9=1/3

5×3=15 so 5/15=1/3
6×3=18 so 6/18=1/3
So all the given options are equivalent to 1/3
Option D is the correct answer.

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

Which number should come in place of $\displaystyle \ \Box, \dfrac { 1 }{ 4 } +\dfrac { 2 }{ 4 } +\dfrac { \Box  }{ 4 } =1\dfrac { 1 }{ 2 } $

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

$=\displaystyle \frac { 3 }{ 2 } -\frac { 1 }{ 4 } -\frac { 2 }{ 4 }=  \frac { 6-1-2 }{ 4 }= \frac{3} {4} $ 

Multiple choice maths fraction lowest form of a fraction simplest ratio lowest form of fractions

What is the value of $\dfrac {1}{1 + \sqrt {2} + \sqrt {3}} + \dfrac {1}{1 - \sqrt {2} + \sqrt {3}}$?

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

The value of $\dfrac {1}{(1 + \sqrt {3})+\sqrt {2}} + \dfrac {1}{(1 + \sqrt {3}) - \sqrt {2}}$ is
$=\dfrac {(1 + \sqrt {3} - \sqrt {2}) + (1 + \sqrt {3} + \sqrt {2})}{(1 + \sqrt {3})^{2} - (\sqrt {2})^{2}}$
$= \dfrac {2(1 + \sqrt {3})}{1 + 3 + 2\sqrt {3} - 2}$
$= \dfrac {2(1 + \sqrt {3})}{2(1 + \sqrt {3})} = 1$