Which clue word can indicate both division and sharing?

Which clue word can indicate both division and sharing?

• A. Ratio
• B. Average
• C. Sum
• D. Combined

Answer: (A)

The word "ratio" serves as an effective clue for indicating both division and sharing because it inherently involves the comparison of two quantities. In mathematics, a ratio is the relationship between two numbers, often expressed as a fraction. When discussing a ratio, you are typically evaluating how one quantity relates to another, which can imply dividing one number by another to find this relationship. For example, if you have a ratio of 3 to 1, you are essentially asking how many times the second quantity can be divided into the first, or you can interpret it as distributing a total amount into parts that reflect this ratio. Thus, the concept of sharing emerges as you might share a total into parts according to the specified ratio. This dual meaning of division (finding how much one quantity is when divided by another) and sharing (distributing a total amount into parts described by a ratio) makes "ratio" the appropriate choice in this context.

The word "ratio" serves as an effective clue for indicating both division and sharing because it inherently involves the comparison of two quantities. In mathematics, a ratio is the relationship between two numbers, often expressed as a fraction. When discussing a ratio, you are typically evaluating how one quantity relates to another, which can imply dividing one number by another to find this relationship.

For example, if you have a ratio of 3 to 1, you are essentially asking how many times the second quantity can be divided into the first, or you can interpret it as distributing a total amount into parts that reflect this ratio. Thus, the concept of sharing emerges as you might share a total into parts according to the specified ratio.

This dual meaning of division (finding how much one quantity is when divided by another) and sharing (distributing a total amount into parts described by a ratio) makes "ratio" the appropriate choice in this context.