Are there different ways to write equal fractions?
There are lots of different ways to write fractions. Take a look at the picture below. Can you see how 1/2 is the same amount as 2/4? And they both also equal 4/8?
Event though the numerator (top fraction number) and denominator (bottom fraction number) are different, these fractions still show the same part of each whole. The pieces are just smaller or bigger!
For example, I might tell my friend I ate 1/2 of my burrito, or 2/4 of my burrito. Either way, I have eaten half!
Equivalent Fractions are two fractions that equal the same amount of the whole even though their numerators and denominators are different!
This chart is helpful to see equivalent fractions. Can you see how 1/3 = 2/6? Or how 2/4 = 1/2?
How can you check to see if two fractions are equivalent?
If you set up two fractions next to each other, you can use multiplication to check and see if two fractions have an equal ratio or relationship.
See the fractions on the right hand side? They each have a common ratio. A ratio is a special relationship between numbers. Remember the phrase "what you do to the top, you do to the bottom!" For equivalent fractions to work, I have to make sure I changed the numerator and denominator by multiplying or dividing them by the same number!
In each of the fractions on the right, I multiplied the top number and bottom number by 2. I could also multiply them by 3, 4, 5... it doesn't matter! As long as I do the same thing to the top and bottom, I know they are equivalent.