Do the ratios 15cm to 3m and 15 seconds to 3 minutes from a proportion?Justify your answer.
Answers
Answer:
15cm : 3m
= 15cm : 300cm
= 3 : 100
15 sec: 3 min
= 15 sec :180 sec
= 3 sec : 60 sec
= 1 : 20
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Answer:
No, the proportions, 15cm to 3m and 15 seconds to 3 minutes do not form a proportion.
Explanation:
In order to have two ratios as a proportion, we need to have their units same. Here, we can see that one ratio is of lengths and the other is of time. Hence, it is not possible to form a proportion from these values.
Knowledge Bytes:
→ Ratio
A ratio can be formed when two values of the same units are compared with one another with the “:” [is to] symbol. These values can be written down in a fractional form and can also be simplified.
E.g., 5:3
→ Proportion
A proportion helps us to make a relationship on between two ratios of the same value. We use the symbol “::” [as to] to represent proportions.
E.g., 3:4::6:8