There are three colours of beads in abag.The ratio of red to yellow beads is 8:3The ratio of green to yellow beads is9:2.What fraction of the beads are green

First, let's find a common ratio for yellow beads in both ratios.

The ratio of red to yellow beads is 8:3 and the ratio of green to yellow beads is 9:2.

To make the yellow beads the same in both ratios, we can multiply the first ratio by 2 and the second ratio by 3.

This gives us:

Red : Yellow = 82 : 32 = 16 : 6 Green : Yellow = 93 : 23 = 27 : 6

Now, the yellow beads are the same in both ratios, we can combine these ratios to get the ratio of red : yellow : green = 16 : 6 : 27

The total number of parts is 16 (red) + 6 (yellow) + 27 (green) = 49 parts

So, the fraction of the beads that are green is 27 (green) / 49 (total) = 27/49.

First, let's find a common ratio for yellow beads in both ratios.

The ratio of red to yellow beads is 8:3 and the ratio of green to yellow beads is 9:2.

To make the yellow beads the same in both ratios, we can multiply the second ratio by 3/2. This gives us a new ratio of green to yellow beads as 27:3.

Now, we can combine the ratios. The ratio of red to yellow to green beads is 8:3:27.

The total number of parts is 8 + 3 + 27 = 38.

The fraction of the beads that are green is therefore 27/38.