write 3 out of 4 +4 out of 9 into a mixed number

3/(4+4)/9

3/8/9
3/72
1/24

or

(3/4)+(4/9)
(27/36)+(16/36)
43/36

depending on how you read the question

I like 43/36, but we need a mixed number: 1 7/36

To convert the fraction 3/4 into a mixed number, you need to divide the numerator (3) by the denominator (4).

The quotient is the whole number part of the mixed number. The remainder is the numerator of the fraction part, and the denominator remains the same.

So, when you divide 3 by 4, you get a quotient of 0 with a remainder of 3. Therefore, the whole number part of the mixed number is 0, the numerator is 3, and the denominator is 4.

For the second fraction, 4/9, since the numerator (4) is already smaller than the denominator (9), it cannot be expressed as a mixed number.

Therefore, the mixed number form of 3/4 + 4/9 is 0 3/4.