Equivalent Fractions

Equivalent means "equal". Equivalent fractions take up the same amount of shaded space; they have the same area. Look at the figures to the right.​

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Notice that the shaded part of both circles covers the same amount. This means the fractions 1/2 and 2/4 are equal.

​Equivalent Fractions

Let's find out how to do the "bottoms up" method!​

Look at the image to the left.

​Equivalent fractions have different numerators and denominators, but their value is the same

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​Look at the image above. Use factors to figure out which number you should multiply by to find the equivalent fraction. Start with making the numerators line up, then multiply the denominators by the same number!​

See if fractions are equal by using factors

4

6​

What could some equivalent fractions of 4/6 be? *Hint: you can go up by multiplying or down by dividing!

1

3​

What could some equivalent fractions of 1/3 be? *Hint: you can go up by multiplying or down by dividing!

3

5​

What could some equivalent fractions of 3/5 be? *Hint: you can go up by multiplying or down by dividing!

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

3/6 1/2

• Equivalent

• Inequivalent

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

2/5 4/10

• Equivalent

• Inequivalent

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

6/9 2/3

• Equivalent

• Inequivalent

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

1/4 2/10

• Equivalent

• Inequivalent

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

9/12 3/4

• Equivalent

• Inequivalent

Multiple Choice

Are the two fractions equivalent? Use the "bottoms up" method or factors to determine your answer!

1/3 4/15

• Equivalent

• Inequivalent

Multiple Choice

Read the question carefully. Draw circles for your fractions.

Sam bought a pizza and cut it into 8 equal slices. He ate 1/2 of it. Sheila bought a pizza and cut it into 10 equal slices. She wants to eat 1/2 of her pizza, just like Sam. How many slices of her pizza should she eat?

• 5

• 6

• 4

• 10

Multiple Choice

Rhonda used the "bottoms up" method to solve a math problem. She decided that 6/8 is equivalent to 3/4. Did she use the method correctly?

• Yes

• No

Open Ended

Michael ran 1/3 of a mile. Brian ran 3/9 of a mile. Did they run the same distance?