For numbers 6a-6d, tell which expressions require you to rename mixed numbers before you can subtract. find each difference. write each expression and the difference in the correct box.

Requires renaming

5 - 2 7/8 = 2 1/8

7 2/3 - 6 1/8 = 5 5/8

9 1/6 - 5 2/3 = 3 1/2

Does not require renaming

5 2/5 - 2 1/4 = 3 3/20

Step-by-step explanation:

6a) Given the expression

5 2/5 - 2 1/4

We do not need to rename both mixed fraction before subtracting.

The expression can be rewritten as:

(5-2)+(2/5-1/4)

3 + (2/5-1/4)

Solving 2/5-1/4 = 8-5/20

= 3/20

5 2/5 - 2 1/4 = 3 + 3/20

5 2/5 - 2 1/4 = 3 3/20

b) 5 - 2 7/8

We need to rename the mixed fraction 2 7/8 before subtracting

5 - 23/8

Taking their LCM

= 40-23/8

= 17/8

= 2 1/8

c) 7 2/3 - 6 1/8

We need to rename both mixed fraction before subtracting.

The expression can be rewritten as:

23/3 - 49/8

= 184-49/24

= 135/24

= 45/8

= 5 5/8

d) 9 1/6 - 5 2/3

We need to rename both mixed fraction before subtracting. The expression can be rewritten as:

55/6 - 17/3

= 55-34/6

= 21/6

= 7/2

= 3 1/2

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct