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### Course: Arithmetic (all content)>Unit 5

Lesson 6: Equivalent fractions 1

# 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.
$\frac{1}{2}=\frac{?}{8}$
First, we can draw $\frac{1}{2}$.
Now, let's divide the same whole into eighths.
How can we shade the whole to show a fraction that is equivalent to $\frac{1}{2}$?
We shaded $4$ of the $8$ sections.
So, $\frac{1}{2}=\frac{4}{8}$.

### Number line

Let's visualize another equivalent fraction using a number line.
$\frac{3}{5}=\frac{?}{10}$
Numbers are equivalent when they are located at the same point on the number line.
First, we can show $\frac{3}{5}$ on a number line:
Now, let's divide our number line into tenths and see what fraction is located at the same point as $\frac{3}{5}$.
$\frac{6}{10}$ and $\frac{3}{5}$ are located at the same point on the number line.
$\frac{3}{5}=\frac{6}{10}$

## Practice

Problem 1
Complete the equation.
$\frac{2}{5}=\frac{★}{10}$
$★=$

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

## Want to join the conversation?

• what if the top is larger then the bottom
• then it is an "inproper fraction"
• do you know what is equivalent to 5/3
• If you have the denominator for the question say 2/3=x/6 multiply 2 times 6 and then divide by 3 to get 4.
• if the top of the fraction (the numerator) is a larger the bottom(denominator) it called a greater than one fraction as in greater than one whole
• That's correct. If the numerator is the same as the denominator, it equals 1.

If the numerator is greater than the denominator, it is greater than 1.
• What is equivalent to 5/3
• 10/6
• if the top is bigger then the bottom it will be a whole and a fraction.
• Most of the times, yes. Be careful because this notation is often not favorable, because it can get later confused with multiplying the fraction with a whole number.
• what happens when the top and bottom and it is the same for both questions.