Tag: part number

Quizzes (3) Questions (41)

Questions Related to part number

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 $x$.

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

Divide the sum of $\displaystyle\frac{65}{12}$ and $\displaystyle\frac{12}{7}$ by their difference.

  1. $\displaystyle\frac{599}{311}$
  2. $\displaystyle\frac{680}{216}$
  3. $\displaystyle\frac{642}{133}$
  4. $\displaystyle\frac{501}{301}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

sum of $\dfrac{65}{12}$  and $\dfrac{12}{7} $


$ \dfrac{65}{12} +\dfrac {12}{7}= \dfrac{65\times 7 +12\times 12}{12\times 7} $

                  $=\dfrac{599}{84}$ ......................(1)

difference of  $\dfrac{65}{12}$  and $\dfrac{12}{7} $

$\dfrac{65}{12}-\dfrac{12}{7} = \dfrac{65\times 7 - 12\times 12}{84}= \dfrac{311}{84} $

                  $ =\dfrac{311}{84} $.........................(2)

divide the sum with difference i.e.

dividing equation (1) with equation (2)

$=\dfrac{\dfrac{599}{84}}{\dfrac{311}{84}}$

$=\dfrac{599}{311}$

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

$\left(\large{\frac{-5}{3}}\right)^5$ $\div$ $\left(\large{\frac{-5}{3}}\right)^{7}$

  1. $\large{\frac{25}{9}}$
  2. $\large{\frac{9}{25}}$
  3. $\large{\frac{16}{25}}$
  4. $\large{\frac{25}{16}}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\left(\large{\frac{-5}{3}}\right)^5$ $\div$ $\left(\large{\frac{-5}{3}}\right)^{7}$


$=-\left(\large{\frac{5}{3}}\right)^5$ $\times$ $-\left(\large{\frac{3}{5}}\right)^{7}$


$=\left(\dfrac{3}{5}\right)^2$

$=\dfrac{9}{25}$.

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

Evaluate: $\dfrac {\left(\dfrac {-3}{5}\right)^{3} \times \left(\dfrac {9}{25}\right)^{2} \times \left(\dfrac {-18}{125}\right)^{o}}{\left(\dfrac {-27}{125}\right) \times \left(\dfrac {-3}{5}\right)}$

  1. $\dfrac{27}{125}$
  2. $-\dfrac{27}{125}$
  3. $\dfrac{64}{125}$
  4. $-\dfrac{64}{125}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\dfrac {\left(\dfrac {-3}{5}\right)^{3} \times \left(\dfrac {9}{25}\right)^{2} \times \left(\dfrac {-18}{125}\right)^{0}}{\left(\dfrac {-27}{125}\right) \times \left(\dfrac {-3}{5}\right)}=\dfrac{\dfrac{-3^3\times 3^4\times 1}{5^3\times 5^4\times 1}}{\dfrac{3^3\times 3}{5^3\times 5}}=-\dfrac{3^{7-4}}{5^{7-4}}=-\dfrac{27}{125}$