Tag: division of a fraction

Quizzes (0) Questions (46)

Questions Related to division of a fraction

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

The value of $\displaystyle\frac{1}{\sqrt{3}+\sqrt{2}-1}$ on simplifying upto 3 decimal places, given that $\sqrt{2}=1.4142$ and $\sqrt{6}=2.4495$ is

  1. 0.166

  2. 0.366

  3. 0.466

  4. 0.566
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } -1 } $
$=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ \left( \sqrt { 3 } +\left( \sqrt { 2 } -1 \right)  \right) \left( \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  \right)  } Multiplying\sqrt { 3 } -\left( \sqrt { 2 } -1 \right) \quad with\quad numerator\quad and\quad denominator\quad $
$=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ 3-{ \left( \sqrt { 2 } -1 \right)  }^{ 2 } } $
 $=\frac { \sqrt { 3 } -\left( \sqrt { 2 } -1 \right)  }{ 3-{ \left( 2+1-2\sqrt { 2 }  \right)  } } $
 $=\frac { \sqrt { 3\quad  } -\sqrt { 2 } +1 }{ 2\sqrt { 2 }  } $
$=\frac { 1.732-1.4142+1 }{ 2.8284 } =0.466$
                                               $(\sqrt { 3 } =\frac { \sqrt { 6 }  }{ \sqrt { 2 }  } =\frac { 2.4495 }{ 1.4142 } =1.732)$

Multiple choice maths fractions dividing fractions division of a fractions division of a fraction

Place value chart is extended on .............. side to provide place for fractions

  1. right

  2. left

  3. no

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

That is the role of the decimal point. The decimal point separates the place values that are whole values on the left from the place values that are fractional parts on the right.

So option A is the correct answer.

Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If $\displaystyle 2805\div 2.55=1100$ then $\displaystyle 280.5\div 25.5=$ _______

  1. 1.1

  2. 1.01

  3. 0.11

  4. 11
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle \frac{280.5}{25.5}=\frac{280.5}{25.5}\times \frac{10}{10}\times \frac{10}{10}$

$\displaystyle =\frac{2805}{2.55}\times \frac{1}{100}$

$\displaystyle =\frac{1100}{100}=11$

Multiple choice maths fractions dividing fractions division of a fractions division of a fraction

The fraction $\displaystyle \frac{9}{4}$ can be written as

  1. $\displaystyle \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}}$
  2. $\displaystyle \dfrac{\dfrac{9}{4}}{1}$
  3. $\displaystyle \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}}$
  4. $\displaystyle \dfrac{\dfrac{7}{6}}{\dfrac{9}{4}}$
Reveal answer Fill a bubble to check yourself
A,B,C Correct answer
Explanation
$ \dfrac{\dfrac{9}{2}}{\dfrac{4}{2}} = \dfrac{9}{2} \div \dfrac 42 =\dfrac 92 \times \dfrac 24  = \dfrac 94$

$ \dfrac{\dfrac{9}{4}}{1} = \dfrac{9}{4} \div 1 = \dfrac 92 \times 1 = \dfrac 94$

$ \dfrac{\dfrac{9}{5}}{\dfrac{4}{5}} = \dfrac{9}{5} \div \dfrac 45 =\dfrac 95 \times \dfrac 45  = \dfrac 94$

So, options $A, B$ and $C$ are correct.
Multiple choice maths part number dividing fractions division of a fractions division of a fraction

If we divide $1$ by a fraction $x$, we get ______ $x$.

  1. same fraction as

  2. reciprocal of

  3. double of

  4. half of
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Every number has a reciprocal except 0 $(\dfrac{1}{0}$ is undefined$)$. The reciprocal is shown as $\dfrac{1}{x}$. 


When we multiply a number by its reciprocal we get $1$

$\Rightarrow$ If we divide $1$ by $x$, we get reciprocal of $x$.