Does the fraction #34/12# have an equivalent fraction with a denominator or #4#? If so, what is it?

Question

Does the fraction #34/12# have an equivalent fraction with a denominator or #4#?  If so, what is it?

Gabriel Agustin · Accepted Answer

Can we make a fraction with denominator 4? Yes. Is it a neat and tidy fraction using integers? No.

Let's look at what happens when we make the denominator 4: #34/12=(34-:3)/(12-:3)=(11 1/3)/4# Do we have a fraction? Yes. Is it a neat and tidy fraction using integers? No.

Genesis Amaya · Answer

undefined Yes, the fraction $ \frac{34}{12} $ can be simplified to an equivalent fraction with a denominator of 4.

To find the equivalent fraction, we need to simplify the given fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

The GCD of 34 and 12 is 2. Divide both 34 and 12 by 2:

$$ \frac{34}{12} = \frac{34 \div 2}{12 \div 2} = \frac{17}{6} $$

Now, to express this fraction with a denominator of 4, we multiply both the numerator and denominator by 2 (since $ 4 = 2 \times 2 $):

$$ \frac{17}{6} \times \frac{2}{2} = \frac{34}{12} $$

So, the equivalent fraction of $ \frac{34}{12} $ with a denominator of 4 is $ \frac{34}{12} $.