Question 1.

Evaluate m : n for m = 1/4 and n = 4/5

a. 1/5

b. 5/16

c. 5

d. 16/5

Question 2.

Find the quotient

2/9 : 4/6

a. 3/4 =

b. 2/3 =

c. 4/27 =

d. 1/3 =

Question 3.

Solve the equation 13 r = 3/7 Express your answer in simplest form.

a. r = 39/7 =

b. r = 91/3 =

c. r = 3/91 =

d. r = 7/39 =

Question 4.

Divide. Express your answer in simplest form.

6 1/4 : 3 1/20

a. 2 1/10 =

b. 2 7/72 =

c. 2 3/61 =

d. 18 1/24 =

Question 5.

Simplify 7/8 : 8

a. 7 =

b. 7/16 =

c. 56 =

d. 7/64 =

The answer is 5=x+1/5

1. 5/16

2. 1/3

3. 3/91

4. 2 and 3/61

5. 7/64

Step-by-step explanation:

For I think all of these problems, I used KCF, you might know this already but, it's Keep, Change, Flip.

1. m : n, place your values into the variables.

1/4 : 4/5 We keep 1/4 the same, change : to multiplication and flip 4/5 to 5/4

1/4 * 5/4 = multiply across. 5/16 we can't simplify.

2. 2/9 : 4/6 = 2/9 * 6/4 = 12/36 and simplify that to 1/3. 12 can go into 36 three times.

3. For this, we need to get the variable r by itself. And to do that we do reverse order of operations. 13r is multiplication, so we divide both sides by 13 to get r by itself.

13r = 3/7 would be r = 3/91

4. We have to turn each fraction into a mixed number.

6 1/4 would equal 25/4 because we times 4 by 6, 24, and add the one, 25.

3 1/20 would equal 61/20

25/4 : 61/20 = 500/4 = 125/61 = 2 and 3/61

5. We can put 8 over 1, 8/1

7/8 : 8/1 then Keep, change, flip

7/8 * 1/8 multiply across

7/64