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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.
$\frac{1}{2}=\frac{?}{8}$
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.
• like if it was 8/6
• this is so good
how does it only give simple questions
• This is grade 7 ?
• what happens when the top and bottom and it is the same for both questions.
• then it is one whole
• What happens when there is a improper fraction and you have to divide it?
• When you have an improper fraction and you need to divide it, you typically follow the same principles of fraction division as you would with proper fractions. An improper fraction is one where the numerator (the top number) is equal to or greater than the denominator (the bottom number).

Here's a step-by-step process for dividing an improper fraction:

Convert the improper fraction to a mixed number (optional): You can convert the improper fraction to a mixed number if you prefer to work with whole numbers. To do this, divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the numerator of the new fraction. The denominator remains the same.
Perform the division: Divide the numerator of the fraction by the denominator. This division can be done the same way as with whole numbers. The quotient will be the result of the division.
Simplify the result (if necessary): If the result of the division can be simplified further (reduced to lowest terms), do so.
For example, let's say you want to divide the improper fraction 7/4:

You could convert 7/4 to a mixed number: 7 ÷ 4 = 1 with a remainder of 3, so 7/4 = 1 3/4.
Then, you divide the numerator (7) by the denominator (4) to get the result: 7 ÷ 4 = 1.75.
You might leave the result as a decimal (1.75) or convert it back to a mixed number if necessary.
If you prefer to work with fractions throughout the process, you can skip step 1 and simply divide the numerator directly by the denominator. For example, dividing 7/4 would give you 7 ÷ 4 = 1.75, or you could represent this as an improper fraction as 7/4.