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Determine whether the fractions 3 4 and 2 3 are equivalent.

User Gie
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1 Answer

3 votes

Answer:

No

Step-by-step explanation:

To solve this, we can start by finding a common denominator, so we can compare the fractions easier. To do so, we need to find the least common multiple of 3 and 4. When we list the multiples, we see that the LCM (least common multiple) is 12. So, we need to make the denominators 12.

For 2/3, we can do this by multiplying the numerator and denominator by 4. This gives us 8/12.

For 3/4, we multiply the numerator and denominator by 3, giving us 9/12.

Now we have the fractions 8/12, and 9/12. They have the same denominator, but not the same numerator. Therefore, they are inequivalent.

User Jire
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