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

Lesson 2: Topic B: Foundations

# Equivalent fractions with visuals

Sal uses same-sized wholes to show equivalent fractions.

## Want to join the conversation?

• So only fractions with an even denominator can be one half of a whole number?
• No, you can actually have an uneven denominator, only if you have decimals (that may be a little trickier). So, for example, 0.5/1, 1.5/3, 2.5/5, 3.5/7, 4.5/9 and so on. They are all equivalent to each other, even though the denominator is odd. But if you were in a maths exam and one question asked you to represent a fraction in lowest terms, you can't put in decimals (because you can't simplify it any more and that it would keep on going forever if they allowed you to simplify fractions even further into decimals). Hope you have learned from that!
• What is an easy way to find out if two fractions are equal? The way Sal did it seams quite long and I feel like there is a faster way than drawing the picture.
• You could simplify the fractions to see if they are equal, for example
Is 1/2 equal to 6/12?
1/2 can't be simplified any more.
Moving on to 6/12, you can divide both the numerator and the denominator ( as said by Asi) by 2.
You get 3/6. This can be divided by three
You get 1/2.
So 1/2 and 6/12 are equal.
You could also divide by 6 and do the above in one step.
Another method is cross multiplication.
In this method, you multiply the numerator of one fraction by the denominator of the other fraction. Do the same for the numerator of the other fraction. If the answers are equal, so are the fractions.
Here is an example for you ( using the same fractions as before):
Are 1/2 and 6/12 equal?
You multiply 1 and 12 ( numerator and the denominator of the other fraction are multiplied).
You get 12
Now you multiply 6 with 2. (you are doing the same with the other fraction)
you get 12 again
The fractions are equal
• why are the bars put in random places
• Where the bars are doesn't matter, but the amount of equal sized bars matter because if you have a certain amount of bars, wherever you put them, they still have the same quantity.
• "If you get what's in the video you don't have to watch it." I'm trying to get these energy points my man.
• The video wastes time! Even if it gets me energy points!
(1 vote)
• Is 3 sixths a whole fraction?
• it is confusing when the numorater is bigger then the denomarater