Question

Using the fractions 2/3 and 3/4 describe how to give two fractions common denominators

Answer 1

One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.

Answer 2

When the denominators can't divide into each other, you multiply each fraction by the other fractions' denominator to get a common denominator

It looks like this:
$\frac{2}{3}*( \frac{4}{4} )= \frac{8}{12}$

$\frac{3}{4}*( \frac{3}{3})= \frac{9}{12}$
now each denominator is 12