Question

Gina has 7 2/6 feet of silver ribbon and 2 4/6 of gold ribbon how much more silver ribbon does Gina have than gold ribbon ?​

Answer 1

Gina has 4 2/3 or 14/3 feet more silver ribbon than golden ribbon.

Explanation:

Gina has 7 2/6 feet of silver ribbon and 2 4/6 of gold ribbon.

Thus,

The quantity of silver ribbon = 7 2/6 or 44/6 feet ∵
`7(2)/(6)=(44)/(6)`

The quantity of gold ribbon = 2 4/6 or 16/6 feet ∵
`2(4)/(6)=(16)/(6)`

In order to determine how much more silver ribbon does Gina have than gold ribbon, all we need is to subtract the quantity of gold ribbon from the quantity of silver ribbon.

i.e.

`(44)/(6)-(16)/(6)`

Apply rule:
`(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`\:(44)/(6)-(16)/(6)=(44-16)/(6)`

subtract the numbers: 44-16=28

`=(28)/(6)`

Cancel the common factor: 2

`=(14)/(3)`

or
`=4(2)/(3)`

Therefore,

Gina has 4 2/3 or 14/3 feet more silver ribbon than golden ribbon.