Use <, =, or > to compare –4.125 and –4 1/8.....?

Question

Use <, =, or > to compare –4.125 and –4 1/8.

<
=
>

5: Use <, =, or > to compare 5/6 and 7/8.

<
=
>


can u help me, how do u kno wuts greater..

Answer 1

First, convert the fraction to a decimal. One way to look at 1/8 is to say that 1 is divided by 8. When you divide that out, you get 0.125. So, -4 1/8 = -4.125.

You can then see that -4.125 = -4.125. The answer to the first question is equal.

For the second one, you need to compare the fractions. You need to work with the lowest common denominator. To do that, look at the denominators and figure out the least common multiple. With 6 and 8, you can see that 24 is the least common multiple. Technically, it doesn't have to be the LCM; you could work with 48, 96, or 2400. It's easier to work with the LCM. Incidentally, if you don't know the LCM, you would do fine just by multiplying the denominators; it won't hurt.

So, with 24 as the LCD, you multiply the numerator and denominator by the number that generates 24. So, you'd have:
5/6 = (5*4)/(6*4) = 20/24
7/8 = (7*3)/(8*3) = 21/24

Now you can compare the two. You see that 20/24 < 21/24, so you know that:
5/6 < 7/8

Hope that helps.

Answer 2

First, make sure that you understand what the signs mean. = is equals or the same as. < means less than and > means greater than. example: 5 < 6 or 7 > 6.

In the first one, they are equal = because if you change 1/8 to a decimal, you get .125. Therefore, -4.125 = -4 1/8.

there are two ways to compare 5/6 and 7/8. If you give them a common denominator, you get 20/24 and 21/24. because 21 is more than 20, you can say that 5/6 < 7/8. the other way is to make them into decimals. 5/6 is the same as .8333 and 7/8 is the same as .875. Again you can see that 5/6 is less than 7/8. I hope this helps

Answer 3

To compare 5/6 and 7/8, find a common denominator: 24.

6 goes into 24 four times. Multiply 5 by 4. 5/6 becomes 20/24.
8 goes into 24 three times. Multiply 7 by 3. 7/8 becomes 21/24

So now the problem becomes:

20/24 and 21/24.

The problem is a lot easier now. Just compare the top numbers: 20 and 21.

Answer 4

=
-4.125 = -4 1/8
1 divided by 8 is .125 so they are equal

7/8 = .875 > 5/6 = .83-

Answer 5

-4.125 = –4 1/8

Just divide 1 by 8 to see that it is .125

5/6 < 7/8

To see which is larger, determine the least common denominator

Answer 6

For the first one, divide 1 by 8 - you will get 0.125, so you know the answer is = .

For the second one, divide 5 by 6 (0.833), and then 7 by 8 (0.875), so you know the second one is < .

Hopefully you can see how to solve these problems, so you can do it by yourself from here on. Good luck!

Edit - note that I gave you the complete answer on the first pass, and did not go back and expand my answer = cheating.

Answer 7

-4.125 =-4 1/8

and......


7/8 > 5/6

Answer 8

Equals

Answer 9

The first is =
The second is <

Answer 10

for number 5 im pretty sure its <

and for the first one its = i think make sure its right though