A gardening club has 60 members, of which 9 are males and the rest are

Question

females. What is
the ratio of females to males?
Students, write your response!
Pear Deck Interactive Slide
Do not remove this bar Express the ratio of females to total members as a simplified fraction.

Answer 1

To find the number of females in the gardening club, we subtract the number of males from the total number of members:

Total members = 60
Males = 9
Females = Total members - Males = 60 - 9 = 51

Now, we can express the ratio of females to males:

Ratio of females to males = Number of females : Number of males = 51 : 9

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 51 and 9 is 3:

51 ÷ 3 = 17
9 ÷ 3 = 3

Thus, the simplified ratio of females to males is:

17 : 3

Now, to express the ratio of females to total members as a simplified fraction:

Number of females = 51
Total members = 60

So, the fraction of females to total members is:

\[ \frac{Number of females}{Total members} = \frac{51}{60} \]

Next, we simplify the fraction by finding the GCD of 51 and 60. The GCD is 3, so we divide both the numerator and the denominator by 3:

51 ÷ 3 = 17
60 ÷ 3 = 20

Thus, the simplified fraction of females to total members is:

\[ \frac{17}{20} \]

In summary:

• The ratio of females to males is 17 : 3.
• The ratio of females to total members as a simplified fraction is \(\frac{17}{20}\).