Tag: converting decimals to fractions and vice-versa

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Questions Related to converting decimals to fractions and vice-versa

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Convert the following into a fraction:

$0.2\times 0.02\times 0.002$

  1. $\dfrac {1}{125}$
  2. $\dfrac {1}{1250}$
  3. $\dfrac {1}{125000}$

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

$\dfrac {2}{10}\times \dfrac {2}{100} \times \dfrac {2}{1000}$

$= \dfrac {8}{10\times 100\times 1000}$
$= \dfrac {4}{5\times 100\times 1000}$
$= \dfrac {1}{125000}$

So, option $C$ is correct.

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

$2.\overline{8768}$  expressed as a rational number is 

  1. $\displaystyle 2\frac{878}{999}$
  2. $\displaystyle 2 _{10}^{9}$
  3. $\displaystyle 2\frac{292}{333}$
  4. $\displaystyle 2\frac{4394}{4995}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 2.\overline{8768}=2+0.\overline{8768}$
= $\displaystyle 2+\frac{8768-8}{9990}=2+\frac{8760}{9990}$
= $\displaystyle 2+\frac{292}{333}=2\frac{292}{333}$

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Express the following as a fraction and simplify:

$2.45$

  1. $\cfrac {49}{20}$
  2. $\cfrac {20}{49}$
  3. $\cfrac {19}{20}$
  4. $\cfrac {20}{19}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To convert a decimal to a fraction, write it over the appropriate power of 10 and simplify:
$2.45 = 2\cfrac{45}{100} = 2\cfrac{9}{20}$    ...Mixed fraction

$=\cfrac{49}{20}$     ....Improper fraction

Multiple choice converting decimals to fractions and vice-versa decimal to fraction addition, subtraction and multiplication of fractions decimal fractions maths

Express the infinite decimal .212121 as a common fraction.

  1. $\frac{21}{100}$
  2. $\frac{23}{99}$
  3. $\frac{7}{100}$
  4. $\frac{7}{99}$
  5. $\frac{7}{33}$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

$Let\quad x=0.212121...\ 100x=21.212121....\ 100x-x=21\ 99x=21\ x=\frac { 21 }{ 99 } =\frac { 7 }{ 33 } $

So correct answer will be option E