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You cut a 3 m string into three parts using the ratio 1:2:3. How long will be the shortest part?

A. %
B. 1
C. 1%
D. 2 3.

User John Bayko
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1 Answer

2 votes

Final answer:

The shortest part of a 3 m string cut into a ratio of 1:2:3 is 0.5 meters. Each part is found by dividing the total length by the sum of the ratio parts (3 m / 6), then multiplying by the number representing the shortest part in the ratio (1 part).

The correct answer is approximately option C.

Step-by-step explanation:

The question asks us to determine the length of the shortest part when a 3 m string is cut into three parts in the ratio 1:2:3. To solve this, we need to find the total number of parts the string is divided into and then find the length of each part. A ratio of 1:2:3 means we have 1 part, 2 parts, and 3 parts, which totals to 6 parts. The string has a total length of 3 meters. We divide the total length by the number of parts to find out the length of one part:

1 part = 3 m ÷ 6 = 0.5 m

Now we can calculate the shortest part of the string. As per the given ratio, the shortest part is 1 part of the string:

Shortest part = 1 × 0.5 m = 0.5 m

Therefore, the length of the shortest part is 0.5 meters, which corresponds to option C. 1% in the question is most likely a typo, as 1% would not be a meaningful answer in this context.

User LNF
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