# Thread: find 7 1/4 of 600.

1. ## find 7 1/4 of 600.

1.) find 7 1/4% of 600.

2.) 9 1/2% of what number is 5.7?

change percent to a fraction

1.) 2/3%

2. Percent just means "out of 100", so 50% is $\displaystyle \frac{50}{100}$, 38% is $\displaystyle \frac{38}{100}$, etc.

So $\displaystyle 7\frac{1}{4}\%\text{ of }600=\frac{7\frac{1}{4}}{100}\text{ times }600$.

On the second problem, you multiply something by $\displaystyle 9\frac{1}{2}\%$ to get 5.7. Since division is the opposite of multiplication, the "something" you want is the product, 5.7, divided by $\displaystyle 9\frac{1}{2}\%$ or 5.7 divided by $\displaystyle \frac{9\frac{1}{2}}{100}$.

To multiply and divide the fractions, first change the whole number + fraction to just a fraction - like $\displaystyle 9\frac{1}{2}=\frac{19}{2}$. Then you can multiply and divide by only whole numbers. Remember that dividing by a fraction is the same as inverting the fraction and multiplying.

The third one is just the "out of 100" rule - $\displaystyle \frac{2}{3}\%$ is just $\displaystyle \frac{\frac{2}{3}}{100}$. Now you just need to change it to a normal fraction - whole number divided by whole number.

Post again in this thread if you're still having trouble. By the way, where are you studying math?

3. my question really was this: what am i supposed to do the percentages that have fractions, do i turn them into decimals or what?

any help?

4. $\displaystyle 9\frac{1}{2}\%=9.5\%$

$\displaystyle 3\frac{3}{5}\%=3.6\%$

This is often a lot easier to work with.

5. Yes, that's right, Quacky.

Also $\displaystyle 7\frac{1}{4}\%=7.25\%$.

Of course, that won't work for the problem that asks you for a fraction. You'll have to recognize that dividing by one thing and then another is the same as dividing by the product of those two things. For example,

$\displaystyle \frac{\frac{4}{7}}{100}=\frac{4}{700}$.

- Hollywood