Question

Kiran found the same equivalent fractions for the point but used a different strategy, as

shown. Analyze his reasoning. How do you think Andre and Kiran's strategies are related.
The picture shows Andre’s strategy. Here is Kiran’s strategy:
8 ÷4 2
------ = ---
12 ÷4 3
8 ÷2 4
------ = ---
12 ÷2 6
12 ÷4
a) They used the same method.
b) Their strategies are unrelated.
c) Andre's strategy is incorrect.
d) Kiran's strategy is incorrect.

Answer 1

Andre's strategy is incorrect. Option C is answer.

Step-by-step explanation:

Kiran's strategy is correct and can be used to find equivalent fractions for the point. The strategy involves dividing the numerator and denominator of the fraction by the same number repeatedly until the desired level of precision is reached. In this case, Kiran divided 8 by 4 to get 2, then divided 8 by 2 to get 4, and finally divided 12 by 4 to get 3.

Andre's strategy, on the other hand, is incorrect. He is trying to find equivalent fractions by multiplying the numerator and denominator of the fraction by the same number repeatedly. This will not always work, as it can result in fractions that are not equivalent to the original fraction. In this case, Andre multiplied 8 by 2 to get 16, then multiplied 8 by 4 to get 32, and finally multiplied 12 by 4 to get 48. These fractions are not equivalent to 2/3.

Therefore, Kiran's strategy is correct and Andre's strategy is incorrect.