Tag: comparing and ordering fractions

Quizzes (0) Questions (57)

Questions Related to comparing and ordering fractions

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

Which fractions are in order from the least to the greatest ? 

  1. $\displaystyle{\frac{1}{2}, \frac{2}{3}, \frac{2}{6}}$
  2. $\displaystyle{\frac{1}{2}, \frac{2}{6}, \frac{2}{3}}$
  3. $\displaystyle{\frac{2}{6}, \frac{2}{3}, \frac{1}{2}}$
  4. $\displaystyle{\frac{2}{6}, \frac{1}{2}, \frac{2}{3}}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
We are going to convert fraction into decimal.
$\Rightarrow$  $\dfrac{1}{2}=0.5$

$\Rightarrow$  $\dfrac{2}{3}=0.67$

$\Rightarrow$  $\dfrac{2}{6}=0.33$

Arranging above decimals in ascending order $=0.33,\,0.5,\,0.67$
Which can be written as $\dfrac{2}{6},\dfrac{1}{2},\dfrac{2}{3}$
$\therefore$   The fractions are in order from least to greatest are $\dfrac{2}{6},\dfrac{1}{2},\dfrac{2}{3}.$
Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

The fraction equivalent to $\displaystyle \frac{1}{2}$ is

  1. $\displaystyle \frac{2}{4}$
  2. $\displaystyle \frac{3}{6}$
  3. $\displaystyle \frac{8}{16}$

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

$\displaystyle \frac{1}{2}=\frac{1\times 2}{2\times 2}=\frac{2}{4}$


$\displaystyle \frac{1}{2}=\frac{1\times 3}{2\times 3}=\frac{3}{6}$

$\displaystyle \frac{1}{2}=\frac{1\times 8}{2\times 8}=\frac{8}{16}$

So, $\displaystyle \frac{1}{2}=\frac{2}{4}=\frac{3}{6}=\frac{8}{16}$

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

The fraction equivalent to $\displaystyle \frac{1}{2}$ is ____

  1. $\displaystyle \frac{3}{6}$
  2. $\displaystyle \frac{5}{10}$
  3. $\displaystyle \frac{9}{18}$

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

Doing the simplest form of all these options..

$\dfrac{3}{6} = \dfrac{1}{2}$
$\dfrac{5}{10}= \dfrac{1}{2}$ 
$\dfrac{9}{18} = \dfrac{1}{2}$
hence option D is correct..

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

Which one is greater?
$\cfrac { 1 }{ 2 } $  $ of \, \cfrac { 4 }{ 7 } $ or $\cfrac { 2 }{ 3 } \, of $$\cfrac { 3 }{ 7 } $


Both are equal

  1. True

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

$\dfrac{1}{2}\ \ \ of \ \ \dfrac{4}{7}$


$=\dfrac{1}{2}\ \ \ \times \ \ \dfrac{4}{7}$


$=\dfrac{2}{7}$

Similarly,

$\dfrac{2}{3}\ \ \ of \ \ \dfrac{3}{7}$

$=\dfrac{2}{3}\ \ \ \times \ \ \dfrac{3}{7}$

$=\dfrac{2}{7}$

So, both are equal

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

Which of the following orders are the fractions from the smallest to the largest?

  1. $\cfrac { 1 }{ 8 } ,\cfrac { 2 }{ 8 } ,\cfrac { 5 }{ 8 } $
  2. $\cfrac { 1 }{ 2 } ,\cfrac { 4 }{ 2 } ,\cfrac { 3 }{ 2 } $
  3. $\cfrac { 3 }{ 4 } ,\cfrac { 1 }{ 4 } ,\cfrac { 2 }{ 4 } $
  4. $\cfrac { 4 }{ 16 } ,\cfrac { 2 }{ 16 } ,\cfrac { 1 }{ 16 } $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In option A, denominator of all the fractions are same and numerator are in increasing order

So, option A is correct.

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

$\displaystyle\frac{15}{\square}$ is a fraction that lies between $\displaystyle\frac{1}{7}$ and $\displaystyle\frac{1}{8}$. What is the missing whole number in the box?

  1. $112$
  2. $56$
  3. $32$
  4. $65$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the missing number be $x$

$\dfrac{1}{7}<\dfrac{15}{x}<\dfrac{1}{8}$
Multiplying  numerator and denominator by 15
$\therefore$ $\dfrac{15}{105}<\dfrac{15}{x}<\dfrac{15}{120}$
So any number between $105$ and $120$ will be the value of $x$.
Hence the correct answer is option A

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

Which of the following statements is true?

  1. $\displaystyle\frac{5}{7} <\frac{7}{9} <\frac{9}{11} <\frac
    {11}{13}$
  2. $\displaystyle\frac{11}{13} < \frac{9}{11} < \frac{7}{9} < \frac{5}{7}$
  3. $\displaystyle\frac{5}{7} < \frac{11}{13} < \frac{7}{9} < \frac{9}{11}$
  4. $\displaystyle\frac{5}{7} < \frac{9}{11} <\frac{11}{13} < \frac{7}{9}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\dfrac{5}{7} , \dfrac{7}{9} , \dfrac{9}{11}, \dfrac{11}{13}$

making same deomenator,
$\dfrac{5}{7}= \dfrac{5\times 9 \times 11 \times 13}{7\times 9\times 11\times 13}$
$=\dfrac{6435}{9009}$ ...........................(1)


$\dfrac{7}{9}= \dfrac{7\times 7\times 11\times 13}{9\times 7\times 11\times 13}$

$=\dfrac{7007}{9009}$ ............................(2)

$\dfrac{9}{11}=\dfrac{9\times 7\times 9\times 13}{7\times 9\times 11\times 13}$

$=\dfrac{7371}{9009}$................................(3)

$\dfrac{11}{13}=\dfrac{11\times 7 \times 9 \times 11}{7 \times 9 \times 11 \times 13}$

$=\dfrac{7623}{9009}$.................................(4)

From equations (1), (2), (3) and (4);
$\dfrac{5}{7}$  <  $\dfrac{7}{9} $< $\dfrac{9}{11}$ < $\dfrac{11}{13}$

Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

Which of the following fractions has the highest value $3/5$, $4/3$, $2/5$, $1/2$.

  1. $3/5$
  2. $4/3$
  3. $2/5$
  4. $1/2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given fractions, $\dfrac{3}{5},  \dfrac{4}{3},  \dfrac{2}{5},  \dfrac{1}{2}$

LCM of $2, 3$ and $5$ is $30 $

So, 
$\dfrac{3}{5} \times \dfrac{6}{6} = \dfrac{18}{30}$

$\dfrac{4}{3} \times \dfrac{10}{10} = \dfrac{40}{30}$

$\dfrac{2}{5} \times \dfrac{6}{6} = \dfrac{12}{30}$

$\dfrac{1}{2} \times \dfrac{15}{15} = \dfrac{15}{30}$

As in above fraction all denominators are same and $40$ is the biggest numerator. 

So, $\dfrac{4}{3}$ is the biggest fraction.
Multiple choice maths equivalent fractions comparing and ordering fractions comparing fractions fractions and its related operations

If $ \dfrac {1}{a} < \dfrac {1}{b} ,$ then :

  1. $|a| > |b| $
  2. $ a < b$
  3. $ a > b $

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

$\begin{array}{l} We\, have \ \frac { 1 }{ a } <\frac { 1 }{ b }  \ by\, reciprocal\, both\, side\, we\; get \ \frac { a }{ 1 } >\frac { b }{ 1 }  \ \therefore a>b \ Hence,\, the\, option\, C\, is\, the\, correct\, answer. \end{array}$