Question

Jackie is making a beaded bracelet. The bracelet will have no more than 12 beads. 1/3 of the beads will be green. What other fractions could represent the part of the beads on the bracelet that will be green

Answer 1

Other fractions could represent the part of the beads on the bracelet that will be green are :

`((1)/(3)) ,((2)/(6)), ((3)/(9)) , ((4)/(12))`

Explanation:

The maximum number of beads the bracelet can have = 12 beads

The fraction of green beads in the bracelet = 1/3

⇒ 1 bead in every 3 bead is GREEN.

⇒The minimum number of total beads = Number of (green+ Other) bead

= 2 + 1 = 3

Now, the possible number of total beads the bracelet can have is

3, 4, 5 , 6, 7, 8, 9 ,10, 11 and 12.

If there are total 3 beads, the fraction representing the green bead =
`((1)/(3))`

If there are total 6( =3 +3) beads, the fraction representing the green bead

= 1 green bead in first 3 beads + 1 green bead in next 3 beads

= 2 green beads in total 6 beads =
`((2)/(6))`

If there are total 9( = 3 +3 +3) beads, the fraction representing the green bead =
`((3)/(9))`

If there are total 12( = 3 + 3 +3 +3) beads, the fraction representing the green bead =
`((4)/(12))`

Hence, other fractions could represent the part of the beads on the bracelet that will be green are :

`((1)/(3)) ,((2)/(6)), ((3)/(9)) , ((4)/(12))`