1. change to improper fraction: 9 5/9

2. change to improper fraction: 6 23/39
3. change the improper fraction to a whole
number:115/20
4. multiply 4 3/4 x 1 1/7

5,subtract- 20 11/15- 17 1/3

6 2(-6)(-8)(0)(-5): multiply

7. solve for the variable: 0.1p=7

1. ((9*9+5)/9 = (81+5)/9 = 86/9

2. (6*39 + 23)/39 = (234 + 23)/39 = 257/39
3. 5 3/4
4. 19/4 * 8/7 = 34/7
5. 311/15 -52/3 = (311-260)/15 =51/15
=17/5

6. 0

7. P = 70

1. To change a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Write the result as the numerator of the improper fraction and keep the denominator the same.

In this case, to change 9 5/9 to an improper fraction:
9 * 9 = 81
81 + 5 = 86
So, 9 5/9 as an improper fraction is 86/9.

2. To change a mixed number to an improper fraction, follow the same steps as above.
In this case, to change 6 23/39 to an improper fraction:
6 * 39 = 234
234 + 23 = 257
So, 6 23/39 as an improper fraction is 257/39.

3. To change an improper fraction to a whole number, divide the numerator by the denominator. The whole number will be the quotient and any remainder will be written as a fraction with the same denominator.
In this case, to change 115/20 to a whole number:
115 รท 20 = 5 with a remainder of 15
So, 115/20 as a whole number is 5 15/20, which can be simplified to 5 3/4.

4. To multiply two mixed numbers, convert them to improper fractions and then multiply the numerators and denominators separately. Simplify the resulting fraction if possible.
In this case, to multiply 4 3/4 by 1 1/7:
4 3/4 as an improper fraction is (4 * 4 + 3) / 4 = 19/4
1 1/7 as an improper fraction is (1 * 7 + 1) / 7 = 8/7
Multiply the numerators: 19 * 8 = 152
Multiply the denominators: 4 * 7 = 28
So, 4 3/4 multiplied by 1 1/7 is 152/28, which can be simplified to 19/7 or 2 5/7.

5. To subtract two mixed numbers, convert them to improper fractions and then subtract the numerators and keep the common denominator. Simplify the resulting fraction if possible.
In this case, to subtract 20 11/15 from 17 1/3:
20 11/15 as an improper fraction is (20 * 15 + 11) / 15 = 311/15
17 1/3 as an improper fraction is (17 * 3 + 1) / 3 = 52/3
Subtract the numerators: 311 - 52 = 259
So, 20 11/15 minus 17 1/3 is 259/15.

6. To multiply several numbers together, multiply them one at a time, starting from left to right. Make sure to include any negative signs in the calculations.
In this case, to multiply 6, -2, -6, -8, 0, and -5:
Multiply them one at a time: 6 * -2 = -12, -12 * -6 = 72, 72 * -8 = -576, -576 * 0 = 0, 0 * -5 = 0
So, 6 multiplied by -2 multiplied by -6 multiplied by -8 multiplied by 0 multiplied by -5 is 0.

7. To solve for the variable in an equation, isolate the variable on one side by performing inverse operations. In this case, to solve for p in the equation 0.1p = 7:
Divide both sides of the equation by 0.1: (0.1p)/0.1 = 7/0.1
Simplify: p = 70
So, the solution to 0.1p = 7 is p = 70.