# Thread: numbers w/ decimals in the fraction?

1. ## numbers w/ decimals in the fraction?

what is the correct way to write a decimal in a fraction? For example 1.5/24.

2. Originally Posted by dthompson
what is the correct way to write a decimal in a fraction? For example 1.5/24.
What you should try to do first is convert the decimal to a fraction.

We know that $\displaystyle .5=\tfrac{1}{2}$

Thus $\displaystyle 1.5=1+.5=1+\tfrac{1}{2}=\tfrac{3}{2}$

So, we see that $\displaystyle \frac{1.5}{24}=\frac{\tfrac{3}{2}}{24}$

I hope you can take it from here.

--Chris

3. For example 1.5/24.
Chris already did it, but another way to reach the result : $\displaystyle \frac{1.5}{24}=\frac{1.5}{24}\cdot \frac{2}{2}=\frac{3}{48}$.

4. Originally Posted by dthompson
what is the correct way to write a decimal in a fraction? For example 1.5/24.
A general procedure to get rid of the decimal point is to multiply the number by a power of 10 with as many zero digits as the number has digits after the decimal point - and then divide the product by the power of 10 you used. An example:

$\displaystyle 1.234 = \frac{1.234 \cdot 1000}{1000} = \frac{1234}{1000}$

$\displaystyle \frac{1.5}{24} = \frac{1.5}{24} \cdot \frac{10}{10} = \frac{15}{240}$