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What is %40 of %70

Guest Sep 7, 2017
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 #1
avatar+1375 
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40% of 70% may seem difficult, but parsing the expression's different parts is essential to being able to understand this

 

"Of" is an indicator of multiplication. Knowing this, the expressions changes to \(40\%*70\%\).

 

\(40\%*70\%\) A number in a percentage is the same as the number over 100.
\(\frac{40}{100}*\frac{70}{100}\) Simplify both fractions with its GCF.
\(\frac{2}{5}*\frac{7}{10}\) Now, multiply both the fractions.
\(\frac{14}{50}=0.28=28\%\)  
   
TheXSquaredFactor  Sep 7, 2017
 #2
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40%*70%=0.28=28%

Guest Sep 7, 2017
 #3
avatar+71 
+1

Don't get confused by the idea of   'per cent   X   another per cent'   which I think is bothering you. 'Per Cent' just means

'hundredth'.

So 40 per cent   X  70 per cent  is just   40 hundredths    X    70 hundredths.

Which is   40/100   X   70/100

Which is 4/10   X  7/10   =28/100     which is 28  hundredths   which is 28%. 

frasinscotland  Sep 7, 2017
 #4
avatar+18715 
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What is %40 of %70

 

\(\begin{array}{|rcll|} \hline \%40 \text{ of } \%70 \\ &=& 40\ \% \times \ 70\% \\ &=& 40\times \ 70\ \% \% \\ &=& 2800\ \% \% \\ &=& 28\times 100\ \% \% \quad | \quad 100\ \% = 1 \\ &=& 28\times 1 \% \\ &=& 28\ \% \\ \hline \end{array} \)

 

laugh

heureka  Sep 7, 2017

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