Equivalent Fractions
Fraction Diagrams
Comparing Fractions
Make that Equivalent Fraction!
100

Name three fractions that are equivalent to 2/5.

4/10, 6/15, 8/20, 10/25, 12/30, and more!

100

What fraction does the shaded part represent?

7/10. There are 10 equal parts and 7 of them are shaded.

100

Compare 1/8 and 1/10 using <, >, or =

1/8 > 1/10. When you have fractions with the same numerator, look for the smaller denominator.

100

2/3 = ?/18

3 x 6 = 18, multiply the numerator and denominator by 6

2 x 6 = 12

3 x 6 = 18

2/3 = 12/18

200

Which of these fractions can be represented by the point on the number line?

a.) 86/100

b.) 90/100

c.) 94/100

d.) 101/100

c.) 94/100

The fraction 9/10 is equivalent to 90/100. The point is to the right of 90/100 but to the left of 1, so it is greater than 90/100 but less than 100/100

200

What fraction does the shaded part represent?

3/10 

There are 10 equal parts and 3 are shaded.

200

Compare 4/10 and 7/10 using <, > or =.

4/10 < 7/10. When you compare fractions with the same denominator, look for the bigger numerator.

200

3/8 = ?/24

8 x 3 = 24

3 x 3 = 9

8 x 3 = 24

3/8 = 9/24

300

Jada says that 7/5 is equivalent to 14/10 because the numerator and denominator of 14/10 are each 2 times the numerator and denominator of 7/5.

Jada is correct. You need to explain why!

Jada is correct because if you take 7/5 and multiply the numerator and denominator by the same number (2), 7x2 = 14 and 5x2 = 10. Your equivalent fraction would be 14/10.

300

What fraction does this diagram represent?

4/6

There are 6 equal pieces and 4 are blue

300

Compare 4/5 and 5/4 using <, > or =.

4/5 < 5/4 because 5/4 is greater than 1 whole since it is an improper fraction.

300

3/6 = ?/36

6 x 6 = 36

3 x 6 = 18

6 x 6 = 36

3/6 = 18/36

400

True or False: Is 2/3 equivalent to 4/6? You need to prove your answer!

True because you can multiply the numerator (2) and the denominator (3) by the same number (2). 2x2 = 4 and 3x2 = 6, so your new equivalent fraction would be 4/6. 2/3=4/6

400

What fraction does this diagram represent?

6/12 or 1/2

There are 12 equal parts and 6 are green

Half of the rectangles are green

400

Compare 5/6 and 3/12 using <, >, or =

5/6 > 3/12

5/6 = 10/12, and 10/12 > 3/12.

400

2/10 = ?/100

10 x 10 = 100

2 x 10 = 20

10 x 10 = 100

2/10 = 20/100

500

Explain why the fractions 10/3 and 40/12 are equivalent.

They are equivalent because you can multiply the numerator and denominator of 10/3 by 4 and get 40/12.

500

What fraction does this represent?

10/10 or 1 whole

There are 10 equal parts and all 10 are shaded

500

Compare 2/7 and 1/3 using <, >, or =

Common denominator = 21 (7 x 3 = 21)

2/7 = 6/21

1/3 = 7/21

2/7 < 1/3

500

2/5 = ?/35

5 x 7 = 35

2 x 7 = 14

5 x 7 = 35

2/5 = 14/35

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