Using a fraction wall
How can we make a fraction that is equivalent to 陆?
Fractions have a numerator and a denominator.
In the fraction 陆 the denominator tells us that the whole is split into 2 equal parts.
If you look on a fraction wall, you can see that 1/2 is the same as 2/4 and the same as 3/6.
Using multiplication
You can check if fractions are equivalent by using multiplication.
Look at the following calculations and see if you can spot a pattern.
To find the equivalent fraction, we multiply the numerator and denominator by the same number and the new fraction will be equivalent to the first fraction.
Using multiplication and division
You can also use division to find equivalent fractions. What about this fraction? Can you work it out?
We have divided the denominator 10 by 2, to get 5, so we also need to divide the numerator 6 by 2, to get 3.
Each time we multiply or divide the denominator and the numerator by the same number to work out the equivalent fraction.
Using a numberline
We can check this on a numberline. Here you can see that 2/10 equals 1/5 or 1/5 equals 2/10.
Activity
Quiz
In this quiz you will look at the numerator and denominator to find equivalent fractions.
Think carefully about whether you are using multiplication or division!
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More on Fractions
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