There are boys and girls in a class in the ratio 5:3What fraction of the pupils are boys?

1. Break Down the Problem

To find the fraction of the pupils that are boys when the ratio of boys to girls is given as 5:3, we first need to understand the total parts represented by the ratio.

2. Relevant Concepts

The ratio of boys to girls is represented as: $\text{Boys} : \text{Girls} = 5 : 3$ From the ratio, we can set:

• Number of boys = 5 parts
• Number of girls = 3 parts

3. Analysis and Detail

The total number of parts in the ratio is the sum of the parts for boys and girls: $\text{Total parts} = 5 + 3 = 8 \text{ parts}$

Next, to find the fraction of pupils that are boys, we can use the formula: $\text{Fraction of boys} = \frac{\text{Number of boys}}{\text{Total number of pupils}} = \frac{5}{8}$

4. Verify and Summarize

The fraction of the total number of pupils that are boys is: $\frac{5}{8}$

Final Answer

The fraction of pupils that are boys is $\frac{5}{8}$.