+2446
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 |
| 62.5100 | Multiply each side by 10 on both sides to get rid of the decimal in the numerator |
| 6251000÷125125 | Divide the numerator and denominator by their GCF, 125, to simplify the fraction fully |
| 58 | |
Isn't that nice? 62.5% simplifies to, in a fraction, 58. By doing this, we have simplified the problem from 62.5%∗50 to 58∗501. Now, let's simplify further to get our final answer:
| 58∗501 | Multiply these fractions by multiplying the numerators and denominators. |
| 2508÷22 | Put improper in simplest terms by dividing by 2 on both the numerator and denominator |
| 1254=3114=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:
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.
