To find the current number of female members in the gardening club, we start with the total number of members and subtract the number of males:
Total members = 60 Males = 9
Females = Total members - Males = 60 - 9 = 51
Now, we can find the ratio of females to males:
\[ \text{Ratio of females to males} = \frac{\text{Females}}{\text{Males}} = \frac{51}{9} \]
This ratio can be simplified. Both numbers can be divided by 3:
\[ \frac{51 \div 3}{9 \div 3} = \frac{17}{3} \]
So the current ratio of females to males is \(17:3\).
Next, if 3 more males join the club, the number of males will increase:
New number of males = 9 + 3 = 12
The number of females remains the same at 51. Now, we can find the new ratio of females to males:
\[ \text{New ratio of females to males} = \frac{51}{12} \]
This ratio can also be simplified. Both numbers can be divided by 3:
\[ \frac{51 \div 3}{12 \div 3} = \frac{17}{4} \]
Thus, the new ratio of females to males after 3 more males join the club is \(17:4\).