Equivalent Fractions & Comparing Fractions

Equivalent Fractions & Comparing Fractions Review

Equivalent Fractions

We have learned that fractions are equivalent when the wholes we are comparing are the same SIZE and cover the same AMOUNT.

What are some strategies we can use to help us find equivalent fractions?

• I can draw a rectangular area model for each fraction, making sure the models are the same size.

• I can draw number lines for each fraction to compare the size and amount of the fractional parts.

Let's practice our strategies for finding equivalent fractions.

We will start with a few quick problems to warm up!

Multiple Select

What fractions are represented by the shaded partitions in this model?

• 2/3

• 3/4

• 2/6

• 4/6

Multiple Choice

Which two of these squares have the same amount shaded?

• P & R

• Q & S

• R & S

• P & Q

Multiple Choice

Which of the models represents an equivalent fraction to 2/3 ?

• A

• B

• C

• D

Now that you've got your brain going, let's try a few that are more challenging!

Multiple Choice

Josie and Paul are planting flowers for their flower gardens, which are the same size. Josie plants daisies in 4/6 of her garden.

If Paul has 12 sections in his garden and wants to plant daisies in the same size space as Josie, how many of the sections will he plant daisies in?

• 6/12

• 4/12

• 8/12

• 9/12

Multiple Choice

William skateboarded the new course in the city park. He stopped for a break ¾ of the way down the course.

Bailey also skateboarded the new course and decided to stop 8 different times to look at the new statues in the park.

At what point did Bailey stop in the same place as William?

• 2/8

• 6/8

• 4/8

• 7/8

Multiple Choice

The table shows the fraction of the summer 3 children spent at the beach for vacation.

Which 2 children spent the same amount of time at the beach?

• Joey & Miley

• Miley & Veronica

• Joey & Veronica

Comparing Fractions

What are strategies we can use to compare fractions?

• If they have the same denominator, compare the numerators

• If they have the same numerator, compare the denominators

• Compare to the benchmarks 0, 1/2 and 1

• Draw area models to represent each fraction, remembering the models must be the same size.

• Use fraction number lines to compare the fractions.

Multiple Choice

Complete this statement with the correct symbol: 2/3 _____ 4/6

• <

• >

• =

Multiple Choice

Which symbol makes this statement true?

3/6 ___ 4/5

• <

• >

• =

Multiple Choice

Which statement is true?

• 3/4 = 2/3

• 3/4 > 2/3

• 3/4 < 2/3

Now that we've covered the basics, let's test your comparison skills!

Multiple Choice

Susan and Katie are having a contest. Susan drank 6/8 liters of water and Katie drank 4/6 liters of water. Who is winning the contest?

• Susan

• Katie

• They both drank the same amount.

Multiple Choice

Bradley and Jasmin had a running contest at school. Bradley ran 2/3 of a mile before he had to stop for water. Jasmine ran 4/8 of a mile before she stopped for water. Who ran farthest before stopping?

• Jasmin

• Bradley

• They ran the same distance.

Multiple Choice

Jerry measured the height of the bean plants growing in his garden. They measured: 8/12 inch, 5/10 inch, 2/6 inch and 2/3 inch. Which 2 bean plants are the same height?

• 5/10 and 2/6

• 2/3 and 2/6

• 5/10 and 8/12

• 8/12 and 2/3

Multiple Choice

Which number line shows an equivalent fraction to 4/6 ?

• A

• B

• C

• D