Question

Which is longer, 1/4 of line A or 1/4 of line B? Explain.

Answer 1

To determine which quarter segment is longer between line A and line B, we can follow these simple steps:

1. Calculate 1/4 of line A:
Take the length of line A and divide it by 4. If we don't know the exact length of line A, we can represent this calculation as (1/4) × line A or just line A / 4.

2. Calculate 1/4 of line B:
Similar to step 1, we take the length of line B and divide it by 4. This calculation will be (1/4) × line B or line B / 4.

3. Compare the two results:
After calculating 1/4 of both lines, you compare the two results to see which one is greater, lesser, or if they are equal.

- If (1/4) × line A > (1/4) × line B, then the quarter segment of line A is longer.
- If (1/4) × line A < (1/4) × line B, then the quarter segment of line B is longer.
- If (1/4) × line A = (1/4) × line B, then the quarter segments of both lines are equal in length.

Without the actual measurements of line A and line B, we cannot provide a definitive answer as to which quarter segment is longer. The calculations depend on the specific numerical lengths of both lines. Thus, to solve this, precise values for line A and line B are needed. Once those values are known, you would apply the steps above to find the longer quarter segment.

Answer 2

1/4 of Line A is SMALLER than 1/4 of line B.

Explanation:

Here, two given lines are A and B.

Now,as we can see, From the two lines Line B is LONGER.

⇒ Length of line A < Length of Line B

Now as we know if we MULTIPLY or DIVIDE an inequality by a same positive number on both the sides, then the SIGN DO NOT CHANGE.

Here, divide both sides of the equation by 4, we get:

`\implies \frac{\textrm{Length of line A}}{\textrm{4}} < \frac{\textrm{Length of line B}}{\textrm{4}}\\\implies (1)/(4)({\textrm{Length of line A}}) < (1)/(4)({\textrm{Length of line B}})`

Hence, 1/4 of Line A is SMALLER than 1/4 of line B.