Representing each sum as a single rational number.

a.-14 + (-8/9). -14 8/9?

b. 7 + 1/9 = 7 1/9?

c. -3 + (1/6) = -3 1/6?

Do i just add the fraction and number together?

and, the last problem is: a student is completing a math problem and is at the last step: 25 - 28 1/5. How do I complete this?

a and b are right.

c. -3 + (1/6) = -2 5/6

25 - 28 1/5 = -3 1/5

C. -3+(1/6)= -2 5/6

a. To represent the sum -14 + (-8/9) as a single rational number, you need to add the whole number part (-14) and the fraction part (-8/9). The result is -14 8/9.

b. Similarly, to represent the sum 7 + 1/9 as a single rational number, you add the whole number part (7) and the fraction part (1/9). The result is 7 1/9.

c. Yes, for questions a and b, you can simply add the whole number and the fraction together to represent the sum as a single rational number.

For the last problem, 25 - 28 1/5, you need to subtract the whole number part (28) and the fraction part (1/5) from 25.

First, convert the mixed fraction 28 1/5 into an improper fraction. Multiply the whole number (28) by the denominator of the fraction (5) and then add the numerator (1). This gives you 141/5.

Now, subtract 141/5 from 25. To do this, find a common denominator for 25 and 141/5, which is 5. Rewrite 25 as a fraction with the denominator 5, which is 125/5. Then subtract 141/5 from 125/5.

125/5 - 141/5 = -16/5.

So the final result is -16/5.

To represent each sum as a single rational number, you need to correctly perform the addition or subtraction operation between the whole number and the fraction. Here's how to solve each problem:

a. -14 + (-8/9)
To add a whole number and a fraction, you first need to find a common denominator. In this case, the common denominator is 9. So we write -14 as -14/1 to have a fraction with the same denominator:
(-14/1) + (-8/9) = (-14/1) + (-8/9)

To add the fractions, you need to have the same denominator. Multiply the fractions by the denominator of the other fraction:
= (-14/1) * (9/9) + (-8/9)
= (-14*9/1*9) + (-8/9)
= (-126/9) + (-8/9)

Now, add the numerators and keep the denominator the same:
= (-126 - 8)/9
= -134/9

So, the sum -14 + (-8/9) can be represented as -134/9.

b. 7 + 1/9
To add a whole number and a fraction, you don't need a common denominator. First, rewrite 7 as a fraction with a denominator of 1: 7 = 7/1.
Now, add the fractions:
7/1 + 1/9 = (7 + 1)/9 = 8/9

So, the sum 7 + 1/9 can be represented as 8/9.

c. -3 + (1/6)
Using the same steps as before, rewrite -3 as -3/1:
(-3/1) + (1/6) = (-3/1) + (1/6)

To add the fractions, find a common denominator, which in this case is 6:
= (-3/1)*(6/6) + (1/6)
= (-3*6/1*6) + (1/6)
= (-18/6) + (1/6)

Now, add the numerators and keep the denominator the same:
= (-18 + 1)/6
= -17/6

So, the sum -3 + (1/6) can be represented as -17/6.

Regarding the last problem, 25 - 28 1/5:
To subtract a mixed number, you have to convert the mixed number into an improper fraction.

28 1/5 can be written as an improper fraction as:
28 + 1/5 = (28 * 5 + 1)/5 = 141/5

Now, subtract the fractions:
25 - 141/5

To subtract fractions, you need a common denominator. In this case, the common denominator is 5:
= (25 * 5)/5 - 141/5
= 125/5 - 141/5

Now, subtract the numerators and keep the denominator the same:
= (125 - 141)/5
= -16/5

So, the final answer for 25 - 28 1/5 is -16/5.