Question

Can somebody help me with this?

I'm struggling to find the answer...

Please explain how you did it to!!

Answer 1

Part a: C

Part b: C

Explanation:

Part A: first you will need to simply the mixed fraction (
`2(1)/(2)`) to a improper fraction. To do so you will have to multiply the whole number (2) to the denominator (2) which is 4, then you have to add that number to the numerator (1), which would be 4 + 1 =5. You keep the denominator the same so
`2(1)/(2)` is also equal to
`(5)/(2)`

Then proceed on with the equation
`(5)/(8) X (5)/(2)`

Multiply straight across and the answer will be
`(25)/(16)`. to change this back into mixed form you have to see how many times the denominator will go into the numerator which will be the whole number, then whatever is left over will the the numerator, lastly the denominator will stay the same

`(25)/(16) =1(9)/(16)`

Now we have to compare
`1(9)/(16)` to
`1(1)/(4)`

Since the whole number is the same, you dont have to worry about it so just focus on
`(9)/(16)` and
`(1)/(4)`

First convert each fraction into decimal numbers. Do this by dividing the numerator by the denominator for each fraction

`(9)/(16)` =0.563

`(1)/(4)` = 0.25

0.563 is greater than 0.25

Therefor
`1(9)/(16)` is more than
`1(1)/(4)`

Or in other words
`(5)/(8) X 2(1)/(2)` is more than
`1(1)/(4)`

Part B:

Area= length X width

`2(1)/(2)` X
`1(1)/(4)` =
`1(9)/(16)`

Sorry that this is a little long, I went indepth with the explanation just to make sure you understand how I got the answers.

Answer 2

In the first question it is simply asking if the product of those fractions is greater than or less than 5/2 or 1 1/4. To solve more “easily”, I would switch the 2 1/2 to 5/2, then multiply. With that you get 5/8 times 5/2 which is 25/16 as an improper fraction which turns into 1 9/16 as a mixed fraction. Anyways, now you have to consider is 1 9/16 is greater than, less than, or equal to 1 1/4. You can write it as a demical and you get 1.5625 and 1.25, which means that 5/8 times 2 1/2 is greater than 1 1/4.

For area, its base times the height which is 2 1/2 times 5/8 which gives you 1 9/16