Question

Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 _____ 1/2 b. 13/15 _____ 7/10 c. 3/5 _____ 5/9 d. 3/8 _____ 10/16

Answer 1

hello


18/36 = 1/2

13/15 ≠ 7/10

3/5 ≠ 5/9

3/8 ≠ 10/16

Answer 2

(a)

`(18)/(36)=(1)/(2)`

(b)

`(13)/(15) \\eq (7)/(10)`

(c)

`(3)/(5) \\eq (5)/(9)`

(d)

`(3)/(8)\\eq (10)/(16)`

Explanation:

we can simplify and verify each equations

(a)

`(18)/(36)`

we can find factors of 18 and 36

`=(2* 3* 3)/(2* 2* 3* 3)`

now, we can cancel it

`=(1)/(2)`

so,

`(18)/(36)=(1)/(2)`

(b)

`(13)/(15)`

we know that 13 can not be factored

so,

`(13)/(15) \\eq (7)/(10)`

(c)

`(3)/(5)`

we know that 3 and 5 can not be factored

so,

`(3)/(5) \\eq (5)/(9)`

(d)

`(3)/(8)`

we can see that second term has 16 in the bottom

we can get 16 in the bottom , if we multiply top and bottom by 2

`=(2* 3)/(2* 8)`

`=(6)/(16)`

so,

`(3)/(8)\\eq (10)/(16)`