Question

Higher Order Thinking Perry thinks that1/2 and 2/4 are equivalent fractions. But when he draws the number lines to the right, he sees that 1/2 and 2/4do not name the same location. Explain what is going on.

Answer 1

Higher Order Thinking Perry thinks that1/2 and 2/4 are equivalent fractions.

From given we have,

The fraction 1/2 and 2/4 are the multiples.

When the fraction 1/2 is multiplied and divided by 2, we get, the fraction 2/4.

1 / 2 × 2 / 2 = 2 / 4

So, the magnitude of the fraction 1/2 gets doubled.

Hence, there is a change in location.