Question

Which products are greater than 2 5/6?A.1/8 × 2 5/6B.2 5/6 × 2 5/6C.2 5/6 × 1 5/8D.5/6 × 2 5/6E.6/5 × 2 5/6

Answer 1

First, we need to change the mixed number to an improper fraction:

`2(5)/(6)=((6\cdot2)+5)/(6)=(17)/(6)\approx2.83`

Now let's evaluate each of the options:

A.

`(1)/(8)*2(5)/(6)=(1)/(8)*(17)/(6)=(1\cdot17)/(8\cdot6)=(17)/(48)\approx0.354`

B.

`2(5)/(6)*2(5)/(6)=(17)/(6)*(17)/(6)=(17\cdot17)/(6\cdot6)=(289)/(36)\approx8.02`

C.

`2(5)/(6)*1(5)/(8)=(17)/(6)*(13)/(8)=(17\cdot13)/(6\cdot8)=(221)/(48)\approx4.60`

D.

`(5)/(6)*2(5)/(6)=(5)/(6)*(17)/(6)=(5\cdot17)/(6\cdot6)=(85)/(36)\approx2.36`

E.

`(6)/(5)*2(5)/(6)=(6)/(5)*(17)/(6)=(6\cdot17)/(5\cdot6)=(17)/(5)\approx3.4`

Now, we can conclude that options B, C, and E are greater than 2 5/6.