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

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ggenius | Student, Undergraduate | (Level 2) Honors

Posted May 10, 2010 at 6:45 PM via web

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

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted May 10, 2010 at 6:49 PM (Answer #1)

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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

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neela | High School Teacher | (Level 3) Valedictorian

Posted May 10, 2010 at 7:53 PM (Answer #2)

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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).

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krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted May 10, 2010 at 9:32 PM (Answer #3)

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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

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atyourservice | Student, Grade 10 | (Level 3) Valedictorian

Posted April 17, 2014 at 7:27 PM (Answer #4)

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`2 3/4 `

`4/4 = 1 `

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

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

11/4

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zumba96 | Student, Grade 11 | (Level 2) Valedictorian

Posted May 16, 2014 at 3:35 AM (Answer #5)

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`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

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