Answers In Exact Order:
37 / 8, 91 / 20, 457 /100 (4.57), and 4543 / 1000 (4.543)
Explanation:
In order to solve your question, we first convert the two decimals into fractions. This will be easier, since we can order fractions from least to greatest by their denominator.
1. To convert 4.57 to a fraction, we can place the decimal number over it's placed value. Like this: 0.3 - 3/10.
For this problem, we'll do the same with 4.57, like this:
457 / 100
Since 7 is in the hundredth place, the denominator will be 100.
You can also do the same with 4.543, which will be:
4543 / 1000
Like I said, 3 is in the thousandth place, and the denominator will be 1,000.
Now, since the two decimals are converted to fractions, we can do the easy part!
To order the fractions, we look at the denominator.
If you look at 37 / 8, the denominator is eight, which will go first, since it's the least.
Then take a look at 91 / 20. The denominator is twenty, and will go second.
After that, look at 457 / 100. The denominator is one hundred, and will go third.
Lastly, 4543 / 1000 will be the greatest, since the denominator is one thousand.
Hence, the order goes by:
37 / 8
91 / 20
457 / 100 (4.57)
4543 / 1000 (4.543)
Reply below if you have any questions or concerns.
You're welcome!
- Nerdworm