Respuesta :
Answer:
Other fractions could represent the part of the beads on the bracelet that will be green are :
[tex](\frac{1}{3}) ,(\frac{2}{6}), (\frac{3}{9}) , (\frac{4}{12})[/tex]
Step-by-step 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 = [tex](\frac{1}{3})[/tex]
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 = [tex](\frac{2}{6})[/tex]
If there are total 9( = 3 +3 +3) beads, the fraction representing the green bead = [tex](\frac{3}{9})[/tex]
If there are total 12( = 3 + 3 +3 +3) beads, the fraction representing the green bead = [tex](\frac{4}{12})[/tex]
Hence, other fractions could represent the part of the beads on the bracelet that will be green are :
[tex](\frac{1}{3}) ,(\frac{2}{6}), (\frac{3}{9}) , (\frac{4}{12})[/tex]
