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# Equivalent fractions and different wholes

Sal shows that two fractions are equivalent only if they refer to the same whole.

## Want to join the conversation?

• How can you ever know that any fractions are equivalent when you only see numbers, but not the size of the whole?
• Well, it depends on whether you have the equation that got you those numbers. If you do, you should see that there is a fraction equivalent to 1, then it's an equivalent fraction. If you don't, then divide the larger number by all 1 equaling fractions, so if it doesn't equal the smaller number after that, it's not equivalent.
• How can I find the numerator to a fraction so I can make it equal to a fraction with a different denominator in an easier way? Such as: 3/6 is equal to ?/2
• First see if both the numerator and the denominator are divisible by the same number. Then divide the numerator and the denominator by that number. The new fraction is the equivalent fraction of the previous fraction.

3 and 6 are divisible by 3. So divide both the numerator(3) and denominator(6) by 3.Then you get the numerator 1 and denominator 2. So the final is 1/2
• Would mixed numbers be equivalent too.
• It depends on if you do the formula correctly
• would 16/32 be equivalent to 1/2 too?
• That is correct! Dividing 16 by 16 produces 1, dividing 32 by 16 produces 2, therefore 16/32 = 1/2
• so if the shape is larger than the other its not equive?
• you got that right
• For people who don't understand,equivalent fractions can be different wholes. For example if you're having a hard time figuring out that 3/4= 6/8. u list their multiples, find the least common denominator aka 8 u get 6/8 and 6/8. I think you know the answer to that, hope this helped!
• Maybe if they are equiviolent then they may be mixed.
• and both say the same thing. Is that supposed to happen??