Tag: converting between fractions or decimals and percentages

Questions Related to converting between fractions or decimals and percentages

Convert the following percents into fractions:

$33\dfrac{1}{3}\%$

maths percent use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{99}{100}$

  2. $\dfrac{3}{100}$

  3. $\dfrac{33}{100}$

  4. $\dfrac{1}{3}$

Show answer
Correct Option: D
Explanation:

Given percent  $={33}\dfrac{1}{3}\%$

Now, ${33}\dfrac{1}{3}=\dfrac{(33\times3)+1}{3}=\dfrac{100}{3}$
${33}\dfrac{1}{3}\%=\dfrac {100}{3}\times\dfrac{1}{100}=\dfrac {1} {3}$

Convert the following percents into fractions:

$6\dfrac{1}{4}\%$

maths percent use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{2}{16}$

  2. $\dfrac{1}{16}$

  3. $\dfrac{25}{4}$

  4. $\dfrac{1}{4}$

Show answer
Correct Option: B
Explanation:
Given percent $={6}\dfrac{1}{4}\%$
Now, ${6}\dfrac{1}{4}=\dfrac{(6\times4)+1}{4}$
                 $=\dfrac{25}{4}$
$\implies{6}\dfrac{1}{4}\%=\dfrac {25}{4}\times\dfrac{1}{100}$
                      $=\dfrac {1} {16}$

Convert the following percents into fractions:

$12\%$

maths percent use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{1}{25}$

  2. $\dfrac{2}{25}$

  3. $\dfrac{3}{25}$

  4. $\dfrac{4}{25}$

Show answer
Correct Option: C
Explanation:

$12\%=\dfrac{12}{100}=\dfrac{3}{25}$

Convert the following percents into fractions:
$8\dfrac{1}{3}\%$

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\dfrac{1}{12}$

  2. $\dfrac{25}{3}$

  3. $\dfrac{2}{75}$

  4. $\dfrac{3}{25}$

Show answer
Correct Option: A
Explanation:
Given percent : ${8}\dfrac{1}{3}\%$

${8}\dfrac{1}{3}=\dfrac{(8\times3)+1}{3}=\dfrac{25}{3}$

${8}\dfrac{1}{3}\%=\dfrac {25}{3}\times\dfrac{1}{100}=\dfrac {1} {12}$

$16\frac{2}{3}\% $ of $600$gm $ - 33\frac{1}{3}\% $ of $180$gm

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $20$ gm

  2. $30$ gm

  3. $40$ gm

  4. $60$ gm

Show answer
Correct Option: C
Explanation:
$16 \dfrac{2}{3}\%$ of $600\ gm-33 \dfrac{1}{3} \%$ of $180\ gm$
$\Rightarrow \left[ \dfrac{50}{3} \times \dfrac{1}{100} (600)- \left( \dfrac{100}{3} \times \dfrac{1}{100} \right) (180) \right] gm$
$\Rightarrow \left[ \dfrac{600}{6}- \dfrac{180}{3} \right]\ gm$
$\Rightarrow (100-60)\ gm$
$\Rightarrow 40\ gm$
$\therefore [16 2/3 \% \ of\ 600\ gm-33 1/3 \% \ of\ 180\ gm]=40\ gm$

$138\%$ is equal to:

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\displaystyle \frac{68}{50}$

  2. $\displaystyle \frac{69}{50}$

  3. $13.8$

  4. $1.83$

Show answer
Correct Option: B
Explanation:

Given, $138 \%=.....$

We can write it as,
$138 \%  =\displaystyle \frac{138}{100} = \frac{69}{50}$ .... On dividing by $2$

$128\%$ is equal to:

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $\displaystyle \frac{32}{25}$

  2. $\displaystyle \frac{68}{50}$

  3. $12.8$

  4. $0.128$

Show answer
Correct Option: A
Explanation:

Given, we need to find $ 128 \%$

$\therefore 128$ $\%=$ $\displaystyle \frac{128}{100}=\frac{32}{25}$
Hence, option A is correct.

1.8% $=$ .......

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. 1.800

  2. 1.8

  3. 0.18

  4. 0.018

Show answer
Correct Option: D
Explanation:

$1.8% $= $\dfrac{1.8}{100} = 0.018$

In a class of $200, 75\%$ were present How many were absent?

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $150$

  2. $50$

  3. $75$

  4. $125$

Show answer
Correct Option: B
Explanation:

Number of absent members
= 25 % of 200
= $\displaystyle \frac{25}{100}\times 200=50$

80% of a non-leap year $= ....... $days

maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

  1. $288$

  2. $256$

  3. $292$

  4. $270$

Show answer
Correct Option: C
Explanation:

A non-leap year has $= 365$ days

$80\%$ of a non-leap year $= \dfrac{80}{100}\times 365$
                                        $= 292$ days