Tag: converting between fractions or decimals and percentages

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Questions Related to converting between fractions or decimals and percentages

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

Convert the following percents into fractions:

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

  1. $\dfrac{99}{100}$
  2. $\dfrac{3}{100}$
  3. $\dfrac{33}{100}$
  4. $\dfrac{1}{3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given percent  $={33}\dfrac{1}{3}\%$

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

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

Convert the following percents into fractions:

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

  1. $\dfrac{2}{16}$
  2. $\dfrac{1}{16}$
  3. $\dfrac{25}{4}$
  4. $\dfrac{1}{4}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Given percent $={6}\dfrac{1}{4}\%$
Now, ${6}\dfrac{1}{4}=\dfrac{(6\times4)+1}{4}$
                 $=\dfrac{25}{4}$
$\implies{6}\dfrac{1}{4}\%=\dfrac {25}{4}\times\dfrac{1}{100}$
                      $=\dfrac {1} {16}$
Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

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

  1. $\dfrac{1}{12}$
  2. $\dfrac{25}{3}$
  3. $\dfrac{2}{75}$
  4. $\dfrac{3}{25}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given percent : ${8}\dfrac{1}{3}\%$

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

${8}\dfrac{1}{3}\%=\dfrac {25}{3}\times\dfrac{1}{100}=\dfrac {1} {12}$
Multiple choice maths percent and percentage use of percentages converting between fractions or decimals and percentages percentage of a quantity

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

  1. $20$ gm
  2. $30$ gm
  3. $40$ gm
  4. $60$ gm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
$16 \dfrac{2}{3}\%$ of $600\ gm-33 \dfrac{1}{3} \%$ of $180\ gm$
$\Rightarrow \left[ \dfrac{50}{3} \times \dfrac{1}{100} (600)- \left( \dfrac{100}{3} \times \dfrac{1}{100} \right) (180) \right] gm$
$\Rightarrow \left[ \dfrac{600}{6}- \dfrac{180}{3} \right]\ gm$
$\Rightarrow (100-60)\ gm$
$\Rightarrow 40\ gm$
$\therefore [16 2/3 \% \ of\ 600\ gm-33 1/3 \% \ of\ 180\ gm]=40\ gm$