In Cathy's garden 5/6 of the area is planted with flowers. Of the flowers, 3/10 of them are red. What fraction of Cathy's garden is planted with red flowers?
To find the fraction of Cathy's garden that is planted with red flowers, we need to multiply the fraction of the area planted with flowers by the fraction of red flowers out of all the flowers.
First, let's find the fraction of the area that is planted with flowers. We are told that 5/6 of the garden is planted with flowers. So, 5/6 represents the fraction of the area planted with flowers.
Next, let's find the fraction of red flowers out of all the flowers. We are told that 3/10 of the flowers are red. So, 3/10 represents the fraction of red flowers.
To find the fraction of Cathy's garden that is planted with red flowers, we multiply these two fractions:
(5/6) * (3/10) = 15/60
So, 15/60 represents the fraction of Cathy's garden that is planted with red flowers.