Answer :
Isabella, here's how to solve the problem step-by-step:
1. Identify the Total Number of Club Members:
The total number of members in the math club is given as 25.
2. Identify the Number of Male Members:
It is given that there are 11 male members in the club.
3. Determine the Number of Female Members:
To find the number of female members, you subtract the number of male members from the total number of members:
[tex]\[ \text{Female Members} = \text{Total Members} - \text{Male Members} \][/tex]
[tex]\[ \text{Female Members} = 25 - 11 = 14 \][/tex]
4. Calculate the Ratio of Males to All Club Members:
The ratio of males to all club members is given by:
[tex]\[ \text{Ratio of Males to All Members} = \frac{\text{Number of Male Members}}{\text{Total Number of Members}} \][/tex]
[tex]\[ \text{Ratio of Males to All Members} = \frac{11}{25} \][/tex]
5. Simplify the Ratio if Needed:
In this case, the ratio [tex]\(\frac{11}{25}\)[/tex] is already in its simplest form as 11 and 25 have no common factors other than 1.
Hence, the simplified ratio of males to all club members is [tex]\( \frac{11}{25} \)[/tex] or 0.44 as a decimal.
1. Identify the Total Number of Club Members:
The total number of members in the math club is given as 25.
2. Identify the Number of Male Members:
It is given that there are 11 male members in the club.
3. Determine the Number of Female Members:
To find the number of female members, you subtract the number of male members from the total number of members:
[tex]\[ \text{Female Members} = \text{Total Members} - \text{Male Members} \][/tex]
[tex]\[ \text{Female Members} = 25 - 11 = 14 \][/tex]
4. Calculate the Ratio of Males to All Club Members:
The ratio of males to all club members is given by:
[tex]\[ \text{Ratio of Males to All Members} = \frac{\text{Number of Male Members}}{\text{Total Number of Members}} \][/tex]
[tex]\[ \text{Ratio of Males to All Members} = \frac{11}{25} \][/tex]
5. Simplify the Ratio if Needed:
In this case, the ratio [tex]\(\frac{11}{25}\)[/tex] is already in its simplest form as 11 and 25 have no common factors other than 1.
Hence, the simplified ratio of males to all club members is [tex]\( \frac{11}{25} \)[/tex] or 0.44 as a decimal.