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    <pre style="white-space:pre-line"><code>Senior Phase Mathematics: Grade 7 â€“ 9                                              Learner book

                                       Unit 1.6: Percentages

                       â€«Ý”â€¬% àµŒ à¯«             Percent means â€˜out of 100â€™

                                  à¬µà¬´à¬´

Converting between fractions, decimals and percentages

Worked examples:
a) Convert 25% to a fraction in simplest form.

   25% àµŒ à¬¶à¬¹                1

                 à¬µà¬´à¬´         Rewrite % as â€˜out of 100â€™.

          àµŒà¬µ               2

                 à¬¸          Simplify fraction. Divide top and
                            bottom by the common factor of 25.

b) Convert 0,3 to a percentage.

   0,3 = à¬·                             1

            à¬µà¬´                          Rewrite decimal as a fraction.

   àµŒ    à¬·   Ã—  à¬µà¬´  àµŒ  à¬·à¬´               2
        à¬µà¬´     à¬µà¬´     à¬µà¬´à¬´
                                        Make an equivalent fraction                      Grade 7, 8 and 9
                                        with a denominator of 100.

   àµŒ 30%                                  3

                                           Rewrite it as a percentage.

Calculating a percentage of an amount

To calculate â€«Ý”â€¬% of an amount, use          à¯«   àµˆ  the  amount
                                          à¬µà¬´à¬´

Worked example:            20% of R75 = à¬¶à¬´ àµˆ R75

                                                     à¬µà¬´à¬´

                           àµŒ  à¬¶à¬´       àµˆ  à­–à¬»à¬¹
                              à¬µà¬´à¬´          à¬µ

                           àµŒ à°­à¬¶à¬´ àµˆ à¬»à¬¹

                                à°±à¬µà¬´à¬´ àµˆ à¬µ

                           àµŒ  à­–à¬»à¬¹      àµŒ  R15
                               à¬¹

Finding what percentage a part of a whole is                                à¯«  of  100%
To find what percentage a part (â€« )Ý”â€¬is of a whole (â€«)Ý•â€¬, we want the fraction  à¯¬

Worked example:
21 learners out of the 420 learners in a school sing in the choir.
What percentage of the learners sings in the choir?

à¬¶à¬µ of 100%

à¬¸à¬¶à¬´

= à¬¶à¬µ àµˆ à¬µà¬´à¬´ %

   à¬¸à¬¶à¬´ à¬µ

àµŒ à°­à¬¶à¬µ àµˆ à¬µà¬´à¬´ %

    à°®à°¬à¬¸à¬¶à¬´ à¬µ

àµŒ  à¬µà¬´à¬´  %   àµŒ  5%
   à¬¶à¬´

Winning Teams & OLICO                                                                            18</code></pre>
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