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# 62.5% of 50

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62.5% of 50

Guest May 30, 2017
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#1
+75356
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62.5%  =.625  .... so...

.625 * 50   =

31.25

CPhill  May 30, 2017
#2
+815
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First, convert 62.5% to a fraction or decimal. I personally like fractions, so that is what I'll use:

 $$62.5\%$$ Convert into fraction by putting whatever is to the left of percent over 100 $$\frac{62.5}{100}$$ Multiply each side by 10 on both sides to get rid of the decimal in the numerator $$\frac{625}{1000}\div\frac{125}{125}$$ Divide the numerator and denominator by their GCF, 125, to simplify the fraction fully $$\frac{5}{8}$$

Isn't that nice? $$62.5\%$$ simplifies to, in a fraction, $$\frac{5}{8}$$. By doing this, we have simplified the problem from $$62.5\%*50$$ to $$\frac{5}{8}*\frac{50}{1}$$. Now, let's simplify further to get our final answer:

 $$\frac{5}{8}*\frac{50}{1}$$ Multiply these fractions by multiplying the numerators and denominators. $$\frac{250}{8}\div\frac{2}{2}$$ Put improper in simplest terms by dividing by 2 on both the numerator and denominator $$\frac{125}{4}=31\frac{1}{4}=31.25$$ I've placed the final answer in different forms.

Okay, the answer is clearly $$31.25$$. However, there is a trick any percentage of 50. Do this:

1. Remove the percent sign
2. Divide result by 2

This is probably best demonstrated by example. I'll use the problem above, which is $$62.5\%*50$$.

Step 1 says to remove the percent sign, so $$62.5\%$$ becomes $$62.5$$

Step 2 says divide the result by 2. $$62.5/2= 31.25$$. Does this answer seem familiar? It should. It is the same answer as we got above but using different steps.

TheXSquaredFactor  May 30, 2017

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