Question

Which of the following is a true statement 3/4<4/6. 11/15<4/5. 5/6>10/12 8/16=1/4

Answer 1

here in order to determine which are true statements let us find lcd of each fraction

3/4<4/6.

lcd of 6 and 4 is 12

converting each denominator to 12

9/12<8/12

now comparing the numerator 9<8, which is not true

so 3/4<4/6 is not true.

11/15<4/5

lcd of 15 and 5 is 15 here

so we have 11/15<12/15

comparing numerators 11<12 which is true

so 11/15<4/5 is true

5/6>10/12

lcd of 6 and 12 is 12

10/12>10/12

10>10 is false

so 5/6>10/12 is not true

8/16=1/4

lcd of 16 and 4 is 4

so 8/16=4/16

which are not equal

so 8/16=1/4 is not true statement

Answer 2

we can check each options

(A)

`(3)/(4)<(4)/(6)`

we can cross multiply it

`3*6<4*4`

`18<16`

this is not true

(B)

`(11)/(15)<(4)/(5)`

we can cross multiply it

`11*5<4*15`

`55<60`

this is true

(C)

`(5)/(6)>(10)/(12)`

we can cross multiply it

`5*12>6*10`

`60>60`

this is not true

(D)

`(8)/(16)=(1)/(4)`

we can cross multiply it

`8*4=16*1`

`32=16`

this is not true