Question

insert the greater than, less than, or equal sign to make each statement true. a. 45/45_1 b. 1_6/3 c. 2/7_ 1 d. 64/23_1

Answer 1

A. = (45/45 = 1 = 1)

B. < (6/3 = 2 > 1.)

C. < (2/7 + 5/7 = 1.)

D. > (64/23 = 3 > 1)

Answer 2

`(45)/(45)=1`

`1<(6)/(3)`

`(2)/(7)<1`

`(64)/(23)>1`

Explanation:

Given the statements

we have to insert the greater than, less than, or equal sign to make each statement true.

`\text{Statement 1: }(45)/(45)?1`

`(45)/(45)...1`

`1...1`

which are equal

∴
`1=1`

`\text{Statement 2: }1?(6)/(3)`

`1...(6)/(3)`

`1...2`

2 is greater than 1

∴
`1<2`

`\text{Statement 3: }(2)/(7)?1`

`(2)/(7)...1`

`0.286...1`

1 is greater than 0.286

∴
`0.286<1`

`\text{Statement 4: }(64)/(23)?1`

`(64)/(23)...1`

`2.783...1`

2.783 is greater than 1

∴
`2.783>1`