Equivalent fractions

Question 1

Which of the following statements is true?

Accepted Answer

2/3 is equivalent to 4/6, and 2/3 is greater than 1/2.

Answer

3/5 is equivalent to 4/6, and 3/5 is less than 1/2.

Answer

3/5 is equivalent to 4/6, and 3/5 is greater than 1/2.

Answer

2/3 is equivalent to 4/6, and 2/3 is less than 1/2.

Question 2

Sam has two identical round pizzas. For the first pizza he cuts it into 2 equal slices and eats 1 slice. For the second pizza he cuts it into 4 equal slices and eats 2 slices. Which statement correctly explains why Sam ate the same amount of pizza each time?

Accepted Answer

He ate half of each pizza; 1 out of 2 slices is the same amount as 2 out of 4 slices.

Answer

He ate more pizza the second time because 2 slices are more than 1 slice.

Answer

He ate the same amount because the total number of slices he ate (1 + 2) is 3.

Answer

He ate the same amount because each slice in the second pizza is twice as big as each slice in the first pizza.

Question 3

Which explanation correctly shows why the fraction 2/3 is equivalent to the fraction 4/6?

Accepted Answer

When both the numerator and denominator are multiplied by 2, the size of each part becomes half as large, but there are twice as many parts, so the overall size of the fraction stays the same.

Answer

The fractions are equivalent because the numerator of 2/3 plus the denominator of 2/3 equals the numerator of 4/6.

Answer

Since 4/6 has a larger denominator, it must represent a smaller part of the whole, which makes it equal to 2/3.

Answer

They are equivalent because you can add 2 to both the numerator and denominator of 2/3 to get 4/6.

Try three questions

Which of the following statements is true?

Sam has two identical round pizzas. For the first pizza he cuts it into 2 equal slices and eats 1 slice. For the second pizza he cuts it into 4 equal slices and eats 2 slices. Which statement correctly explains why Sam ate the same amount of pizza each time?

Which explanation correctly shows why the fraction 2/3 is equivalent to the fraction 4/6?

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