Question

How do you know 31/40 is greater than 3/4, but less than 4/5​

Answer 1

9514 1404 393

Answer:

  30/40 < 31/40 < 32/40

Step-by-step explanation:

The fractions are easiest to compare when they have a common denominator. A denominator of 40 will serve.

  3/4 = 30/40

  4/5 = 32/40

Then the relation between the fractions is ...

  30/40 < 31/40 < 32/40

  3/4 < 31/40 < 4/5 . . . . 31/40 is greater than 3/4 and less than 4/5

_____

You can also compare the numbers as decimals.

  3/4 = 0.750

  31/40 = 0.775 . . . . greater than 3/4

  4/5 = 0.800 . . . . greater than 31/40

Answer 2

Step-by-step explanation:

So you have 31/40

3/4=30/40 (multiply by 10/10)

4/5=32/40 (multiply by 8/8)

So, there you have it, 31/40 is right in between those two.

turn it into decimal format. just do the division,. 31 divided by 40 = .775 and 3 divided by 4 = .75 and 4 divided by 5 = .8. all you have to do is the division and once it is in decimal format you can tell which is greater. hope this helps