Which statements are true about fractions and ratios? Select all that apply.

Question

All ratios are fractions.
Some ratios are not fractions.
All fractions are ratios.
All ratios compare wholes and parts.

Answer 1

Let's evaluate each statement about fractions and ratios:

1. All ratios are fractions.
   This statement is true. A ratio can be expressed as a fraction representing the relationship between two quantities.

2. Some ratios are not fractions.
   This statement is false. Since all ratios can be expressed as fractions, there are no ratios that are not also fractions.

3. All fractions are ratios.
   This statement is true. A fraction represents a part of a whole and can be understood as a ratio between the numerator and the denominator.

4. All ratios compare wholes and parts.
   This statement is false. Ratios can compare two different quantities, which may not necessarily be a part and a whole. For example, the ratio of boys to girls in a class compares two groups.

Therefore, the true statements are:

• All ratios are fractions.
• All fractions are ratios.