# How do you find fractional notation for the ratio 1.6 to 9.8?

##### 1 Answer

#### Explanation:

We can immediately get a "technically correct" answer by placing the first term over the second:

To get rid of the decimals, we can multiply the top and bottom by 10. This shifts the decimal places one to the right without changing the value of our fraction:

Now we have a proper fraction, but it is not fully reduced. To fully reduce a fraction, you need to get the top and bottom to have no common denominator greater than 1. In other words, when fully reduced, there should not exist an integer greater than 1 which evenly divides the top any bottom.

We see that 16 and 98 are divisible by 2, so we divide the top and bottom by 2 to get: