Let's break down the problem step by step for each part:

A) Ratio of males to females

• Number of males: 40
• Number of females: 20

As a fraction:

$\text{Ratio} = \frac{40}{20} = 2$ So, the fraction is $\frac{2}{1}$ (in lowest terms).

As a decimal:

$2 \div 1 = 2.00$

B) Ratio of females to males

• Number of females: 20
• Number of males: 40

As a fraction:

$\text{Ratio} = \frac{20}{40} = \frac{1}{2}$ So, the fraction is $\frac{1}{2}$.

As a decimal:

$1 \div 2 = 0.50$

C) Ratio of males to total number of students

• Number of males: 40
• Total number of students: 60

As a fraction:

$\text{Ratio} = \frac{40}{60} = \frac{2}{3}$ So, the fraction is $\frac{2}{3}$.

As a decimal:

$2 \div 3 = 0.67$

D) Ratio of total number of students to females

• Total number of students: 60
• Number of females: 20

As a fraction:

$\text{Ratio} = \frac{60}{20} = 3$ So, the fraction is $\frac{3}{1}$ (in lowest terms).

As a decimal:

$3 \div 1 = 3.00$

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Summary:

• A) Ratio of males to females: $\frac{2}{1}$, 2.00
• B) Ratio of females to males: $\frac{1}{2}$, 0.50
• C) Ratio of males to total number of students: $\frac{2}{3}$, 0.67
• D) Ratio of total number of students to females: $\frac{3}{1}$, 3.00

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Would you like more details or have any questions?
Here are some related questions to practice:

1. What is the ratio of males to females if the number of males was 50 and females 25?
2. If the class size increased to 80, with 50 males and 30 females, what would be the new ratio of males to females?
3. How would you calculate the ratio of females to the total number of students if 10 more females joined the class?
4. What is the decimal form of the ratio of 75 males to 25 females?
5. What happens to the male-to-female ratio if the number of males is halved and the number of females is doubled?

Tip: Always reduce ratios to their lowest terms before converting them to decimal!