Different fractions. Same position.

That’s what makes them equivalent.

These fractions have different names…

but they represent the same amount.

On a number line, equivalent fractions land in the same position.

0

1

2

4

8

Equivalent fractions = same value, same position.

Choose a denominator.

The number line will divide into equal parts.

Drag each fraction to its position.

Use the tick marks to help you place each card on the number line.

Drag these cards

Different names. Same position.

Drag each fraction to the glowing spot and watch them stack together.

Drag these related fractions

Look carefully at the number line.

These fractions stacked in the same position.

0

1

2

4

8

Think About It

What does this tell us about one-half, two-quarters and four-eighths?

They are all different sizes.

They are equivalent fractions.

They have the same denominator.

Equivalent fractions can have different numerators and denominators, but they still represent the same amount. That’s why they land in the same position on the number line.

Which fractions are equivalent to one-half?

Tap all the fractions that would land in the same position as one-half.

0

1

Independent Check

Select every fraction that has the same value as one-half.

Correct fractions: one-half, two-quarters, three-sixths and four-eighths. They are all equivalent because they represent the same amount.

Find fractions equivalent to three-quarters.

The model shows three-quarters. Tap every fraction that matches the same amount.

Target: three-quarters

Extension

Choose all the fractions that represent the same amount as three-quarters.

Hint: Think about what happens when both numbers are multiplied by the same number.

Equivalent fractions for three-quarters include six-eighths, nine-twelfths and twelve-sixteenths.