# Change the mixed number 2(3/4) to an improper fraction and show how it happens

### 5 Answers | Add Yours

`2(3/4)`

Since 4/4=1 then 8/4 must equal 2. We have 3 left over which we would add to the 8 to make it 11/4. Or you can also multiply the denominator by the whole number and add the numerator

` `

`2 3/4 `

`4/4 = 1 `

`4/4 xx2/1 = 8/4 `

`8/4 + 3/4 = 11/4 `

11/4

A mixed number is a number which is a combination of a whole number plus a fraction. A mixed number can be converted into and equivalent fraction with only numerator and denominator, without the whole number shown separately. A fraction like this is called improper fraction because in it the numerator is bigger than denominator.

The given number, that is, 2(3/4) is a mixed number in which 2 is a whole number and 3/4 is a fraction.

It can be converted to an equivalent improper fraction as follows:

2(3/4) = 2 + 3/4

= 2/1 +3/4

= (2*4 + 3)/4

= (8 + 3)/4

= 11/4

2 and 3/4 or 2 2/3 can be written like:

2/1 + 3/4. We make the denominator common , that is, instead of two different denominators, the common denominator 4. An equivalent form of 2/1 with denominator 4 is 8/4. So

2/1+3/4 = 8/4+3/4= 11/3 which is an improper form of fraction (Numerator is greater ( or absolutely) than denominator).

First, we have to write the mixed number as a sum, like this:

2 + 3/4

Then we have to show that the denominator of 2 is 1.

2/1 + 3/4

In order to add the 2 ratios, they have to have the same denominator. For this reason, we'll multiply the ratio 2/1 by 4.

4*2/4*1 + 3/4 = 8/4 + 3/4

Now we'll add the numerators, kepping the same denominator.

8/4 + 3/4 = (8+3)/4 = 11/4

**2(3/4) = 11/4**