Respuesta :

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

21.6 ÷ 40 = 0.54 = 54%

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Method 1:

[tex]21\dfrac{3}{5}=\dfrac{21\cdot5+3}{5}=\dfrac{108}{5}\\\\\\\\\begin{array}{ccc}40&-&100\%\\\dfrac{108}{5}&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\\\40p=\dfrac{108}{5}\cdot100\\\\40p=108\cdot20\\\\40p=2160\qquad\text{divide both sides by 40}\\\\\boxed{p=54}[/tex]

Answer: 21 3/4 is 54% of 40.

Method 2:

[tex]\dfrac{\frac{108}{5}}{40}\cdot100\%=\dfrac{108}{5}\cdot\dfrac{1}{4}\cdot10\%=\dfrac{108}{2}\%=54\%[/tex]

Answer: 21 3/4 is 54% of 40.