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

Answer:

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

$(\frac{1}{3}) ,(\frac{2}{6}), (\frac{3}{9}) , (\frac{4}{12})$

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  = $(\frac{1}{3})$

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 =   $(\frac{2}{6})$

If there are total 9( = 3 +3 +3) beads, the fraction representing the green bead  = $(\frac{3}{9})$

If there are total 12( = 3 +  3 +3 +3) beads, the fraction representing the green bead  = $(\frac{4}{12})$

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

$(\frac{1}{3}) ,(\frac{2}{6}), (\frac{3}{9}) , (\frac{4}{12})$