simplest form: 3ab^2 / 12ac
Reduce the fraction
then reduce the a's
What do you think you are left with?
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To simplify the given expression, 3ab^2 / 12ac, we can start by simplifying the numerator (3ab^2) and the denominator (12ac) separately.
In the numerator:
- The coefficient 3 cannot be simplified any further.
- The variable a cannot be simplified any further since it does not have any common factors with the other terms.
- The variable b^2 cannot be simplified any further since it does not have any common factors with the other terms.
Therefore, the numerator remains the same: 3ab^2.
In the denominator:
- The coefficient 12 can be simplified by dividing both 12 and 3 by their greatest common factor, which is 3. Dividing 12 by 3 gives us 4.
- The variable a cannot be simplified any further since it does not have any common factors with the other terms.
- The variable c cannot be simplified any further since it does not have any common factors with the other terms.
Therefore, the denominator simplifies to 4ac.
Putting the simplified numerator and denominator together, we get: (3ab^2) / (4ac).
The expression is now in its simplest form and cannot be simplified any further.