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Course: 4th grade (Eureka Math/EngageNY)>Unit 5

Lesson 2: Topic B: Fraction equivalence using multiplication and division

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.