Statement 1 - [tex]\frac{45}{100} *72=\frac{45}{72} *100[/tex] - false
Statement 2 - [tex]16\%\, of\, 250= 250\%\, of\, 16[/tex] - true
Percentage
Percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{1}{100} =1%[/tex].
- Statement 1 - [tex]\frac{45}{100} *72=\frac{45}{72} *100[/tex]
Solving each side of the expression:
[tex]\frac{45}{100} *72=\frac{3240}{100} =\frac{3240\div 20}{100\div 20} =\frac{162}{5} \\ \\ and\\ \\ \frac{45}{72} *100=\frac{4500}{72} =\frac{4500\div 36}{72\div 36} =\frac{125}{2}[/tex]
Therefore, [tex]\frac{45}{100} *72\neq \frac{45}{72} *100[/tex] and the statement is false.
- Statement 2 - 16% of 250 = 250% of 16
Solving each side of the expression:
[tex]16\%\, of\, 250= \frac{16*250}{100}=\frac{4000}{100}=40 \\ \\ and\\ \\ 250\%\, of\, 16= \frac{250*16}{100}=\frac{4000}{100}=40[/tex]
Therefore, [tex]16\%\, of\, 250= 250\%\, of\, 16[/tex] and the statement is true.
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