Question

Which one is bigger, 5 3/4 or 5.825???

Answer 1

So remember that with a mixed fraction, you can convert the fractional part to a decimal and just add. 3/4 as a decimal is 0.75, and 5+0.75=5.75. Should be easier to compare now :)

Answer 2

Can you explain this on a 5th grader's level?

Answer 3

It is due Monday!

Answer 4

To compare the two kinds of numbers (mixed fraction and decimal), it's easier to have them both be in the same form.

One way to do it in this case is to convert \(5\frac{3}{4}\) to a decimal. \(5\frac{3}{4}\) is the same as \(5+\frac{3}{4}\).

Since 5 is already a decimal, all you have to do is convert \(\frac{3}{4}\) into a decimal. You can do this by plugging it in your calculator and finding the result is 0.75.

Adding 5 and 0.75 gives you 5.75, so the question now becomes, is 5.75 bigger than 5.825, or not?

Answer 5

Oh!!! So 5.75 is bigger?

Answer 6

Well... what happens if you subtract 5.825 from 5.75?

Answer 7

Ummm, it is o.75?

Answer 8

Right?

Answer 9

Not quite.

Let's take a step back. What happens if you subtract five from 5.75? Remember that 5 is the same as 5.00 (the zeros after the decimal don't matter), so it's the same as:
\[
\begin{align*}
5&.75
-5&.00
\end{align*}
\]

Answer 10

\[
\begin{align}
5&.75\\
-5&.00
\end{align}
\]

Answer 11

75?

Answer 12

Don't forget to drop down the decimal point!

Answer 13

so .75?

Answer 14

Exactly.

Now what happens if you subtract 5 from 5.825?

Answer 15

If you're having trouble, do the same thing I did above. This would look like:

\[
\begin{align}
5&.825\\
-5&.000
\end{align}
\]

Since the 0s don't matter again.

Answer 16

825?

Answer 17

The poor decimal point got left out again :)

Answer 18

sorry!

Answer 19

What do I do now?

Answer 20

Now you've got 0.825 and 0.75. Can you see which of those is bigger?

Answer 21

Yes. 0.825!

Answer 22

Excellent! Now, you subtracted 5 from both 5.825 and from 5.75 to get 0.825 and 0.75. So since 0.825 is bigger than 0.75, what does that say about which one is bigger between 5.825 and 5.75?

Answer 23

5.825 is bigger than 5 3/4?

Answer 24

Right?

Answer 25

Yes! Sorry, went away for a bit.

Answer 26

Can you help me some more?

Answer 27

Sure.

Answer 28

Thanks!

Answer 29

How do add fractions?

Answer 30

hello?

Answer 31

Okay, to add fractions you need to make sure they have the same denominator. Can you give me two example ones you need to add?

Answer 32

1/2 and 5/9? I have to write it as a mixed number in simplest form.

Answer 33

You are a great toutor :)

Answer 34

Okay. So like I said, the first step is making sure they have the same denominator. To do that, first you have to understand that if I multiply a fraction by a number over itself, then it stays the same.

So, as an example, if I were to multiply a fraction by \(\frac{3}{3}\) or \(\frac{5}{5}\) or \(\frac{9}{9}\), then it would stay the same. Are you clear with that?

Answer 35

Nope! I am only in 5th grade.

Answer 36

So what do you get if you divide two by two?

Answer 37

1?

Answer 38

Exactly. And if you divide three by three, or four by four, or 17 by 17, you still get one, right?

Answer 39

Correct!

Answer 40

The next step....

Answer 41

Awesome. And what happens if you multiply a number by one?

Answer 42

The same number.

Answer 43

Does this have something to do with fractions?

Answer 44

Sorry, that was rude :(

Answer 45

Can you please contuine?

Answer 46

I'm sorry, my Internet died :/ If you still want help, I'm willing to continue now that it's back up.