Erschienen in:

1982 | OriginalPaper | Buchkapitel

Percentage, Ratio and Proportion

verfasst von : O. Perry, J. Perry

Erschienen in: Mastering Mathematics

Verlag: Macmillan Education UK

Enthalten in: Professional Book Archive

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Per cent (symbol %) means per hundred, and a percentage may be considered as a common fraction with 100 as denominator <math display='block'> <mrow> <mn>3</mn><mi>%</mi><mo>=</mo><mfrac> <mn>3</mn> <mrow> <mn>100</mn> </mrow> </mfrac> <mo>,</mo><mtext> </mtext><mtext> </mtext><mn>72</mn><mi>%</mi><mo>=</mo><mfrac> <mrow> <mn>72</mn> </mrow> <mrow> <mn>100</mn> </mrow> </mfrac> <mtext> </mtext><mtext> </mtext><mi>o</mi><mi>r</mi><mtext> </mtext><mtext> </mtext><mfrac> <mrow> <mn>18</mn> </mrow> <mrow> <mn>25</mn> </mrow> </mfrac> <mo>,</mo><mtext> </mtext><mtext> </mtext><mn>2</mn><mstyle scriptlevel='+1'> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mstyle> <mi>%</mi><mo>=</mo><mfrac> <mn>5</mn> <mrow> <mn>200</mn> </mrow> </mfrac> <mtext> </mtext><mtext> </mtext><mi>o</mi><mi>r</mi><mtext> </mtext><mtext> </mtext><mfrac> <mn>1</mn> <mrow> <mn>40</mn> </mrow> </mfrac> </mrow> </math>$$3\%=\frac{3}{{100}},\quad \;72\%=\frac{{72}}{{100}}\,\,or\,\,\frac{{18}}{{25}},\quad \quad 2\tfrac{1}{2}\%=\frac{5}{{200}}\,\,or\,\,\frac{1}{{40}}$$ A percentage may also be expressed as a decimal fraction, so that <math display='block'> <mrow> <mn>7</mn><mi>%</mi><mo>=</mo><mn>7</mn><mo>÷</mo><mn>100</mn><mo>=</mo><mn>0.07</mn><mo>,</mo><mtext> </mtext><mtext> </mtext><mn>2.5</mn><mi>%</mi><mo>=</mo><mn>0.025</mn><mo>,</mo><mtext> </mtext><mtext> </mtext><mn>100</mn><mi>%</mi><mo>=</mo><mn>1.00</mn> </mrow> </math>$$7\%=7\div 100=0.07,\quad \quad 2.5\%=0.025,\quad \quad 100\%=1.00$$ To change a percentage to a fraction, divide by one hundred.

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