Question #f7fe4
2 Answers
Explanation:
First, let's rearrange the order to that we can identify the smallest and largest numbers. Here are the symbols that I use and what it means.
We know that the negative numbers should be smallest, as they are below 0. Remember the greater the number of the negative the smaller the number, so
We also know that
We know
To get a common denominator for both fractions, we do
This proves that
Now that we know the order. Let's find the difference between the smallest and largest numbers.
Here's the order
The largest number is
Let's find their difference
Firstly, we need to convert these mixed numbers into improper fractions so that we can subtract them more easily so
Now let's find the common denominator of these two fractions. Now the LCM of 6 and 7 is 42 so that will be our common denominator.
Let's do the operation to make the denominators of both of these fractions the same.
Remember never add or subtract the denominators!
Finally, let's find the difference:
Simplify the fraction so make it a Mixed number. We know that 42 goes into 391 nine times, therefore it will be 9 followed by a fraction. When we multiply 42 by 9 we get 378 and we know that the numerator of the fraction will be 13 because 391 - 378 is 13. Finally, we can write it as a fraction
Explanation:
Largest number
Smallest number