We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

#2**+2 **

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:

- Remove the percent sign
- 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