Question

Carla wants to know how many batches of birdseed she can make with 1/2 cup of sunflower seeds. She puts 1/6 cup of sunflower seeds in every batch. Carla divides 1/2 by 1/6 to find the answer. She says this is the same as multiplying 1/6 by 2; explain what Carla did wrong and show the correct solution.

Answer 1

Answer:

she was wrong because when you divide 1/2 by 1/6 its not the same as multiplying 1/6 by 2 but you do get the same answer its just the wrong equation

Step-by-step explanation:

Answer 2

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Answer:

• Carla inverted the numerator when she should have inverted the denominator before multiplying
• 3

Step-by-step explanation:

Any division problem is the same as a multiplication problem with the multiplier being the reciprocal of the denominator. So to divide 1/2 by 1/6, we could multiply 1/2 by (1/(1/6)) = 6/1. The result would be ...

  $\dfrac{1}{2}\div\dfrac{1}{6}=\dfrac{1}{2}\times\dfrac{6}{1}=\dfrac{6}{2}=\boxed{3}$

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Carla's mistake was inverting 1/2 instead of 1/6 in her solution to the problem.