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Lesson 3: Equivalent fractions

# Equivalent fraction models

Use same-sized wholes to show equivalent fractions.

## Want to join the conversation?

• So you simply need to multiply by 2 and you get an equivalent fraction? am I right?
• You're on the right track. When you multiply both the numerator (top number) and the denominator (bottom number) by the same number, you get an equivalent fraction. But remember, it's not always by 2. You can actually multiply by any number, as long as you multiply the numerator and denominator by the same number.

For example, if you start with 1/2, you can multiply both the numerator and denominator by 3 to get 3/6, which is equivalent.

You'll learn this more in-depth later when multiplying fractions is discussed, but this works because in the example above we are actually multiplying by 3/3, which is equal to 1, and anything multiplied by 1 is equal to itself.
• wait so lets say that the hexagon is a pizza and you took 2 slices of pizza away. so, can you just say they the denominator is 3 because you have 3 left and the numerator is 2 because you took two away?
• No, but you're close!
If you took away the two slices you're left with 4 slices. Not 3.
If we start with a pizza that has 6 slices (the hexagon) and we take away 2 slices that means we still have 4/6 of the pizza left.
It's 4 because that's how many we have left, and it's 6 because that's how many slices we need to have a whole pizza.

Now the 2/3.
If we consider a simpler fraction like 1/2, how many slices of the hexagon do we need for there to be half of a pizza? It'd be 3 slices, or 3/6!
That's why we say that 3/6 and 1/2 are EQUIVALENT!

It's the same with the 4/6 and 2/3. 4 out of 6 is 2/3 of the hexagon.
• Can you do equivalent fractions without drawing models? If so, can you tell me how to do it? (Sometimes I forget strategies)
• Yes, you can use equivalent fractions without drawing models! Just multiply/divide the numerator and denominator by the same number. For example:
70/200 is an equivalent fraction of:
7/20, 140/400, 280/800, .......
Anyhow, just multiply/divide the numerator and denominator by the same number! Hope this helps
• Why do fractions with different numbers equal each other, like 4/6 and 2/3?
• If you simplify 4/6 by dividing the numerator and denominator by 2, you will get 2/3.
• people im ten watch this in ten yeas and say hey hes 20 now trust me it will make you think
• do you thik 200 400 -500 =34
• denominator=bottom numerator=top right??
• here is a way to remember denominator downstairs, numerator north (north is upwards)