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Visualizing equivalent fractions review

Review equivalent fractions with fraction models and number lines, and try some practice problems.

Equivalent fractions

Fractions are equivalent if they are equal or represent the same amount.

Fraction model

Let's look at an example.
12=?8
First, we can draw 12.
Now, let's divide the same whole into eighths.
How can we shade the whole to show a fraction that is equivalent to 12?
We shaded 4 of the 8 sections.
So, 12=48.

Number line

Let's visualize another equivalent fraction using a number line.
35=?10
Numbers are equivalent when they are located at the same point on the number line.
First, we can show 35 on a number line:
Now, let's divide our number line into tenths and see what fraction is located at the same point as 35.
610 and 35 are located at the same point on the number line.
35=610
Want to learn more about visualizing equivalent fractions? Check out this video.

Practice

Problem 1
Complete the equation.
25=10
=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Want to try more problems like this? Check out this exercise.

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