Question

Please help me if you could if you can't I understand. what fractions are equivalent to 2/3 and 7/12 using the least common denominator?

Answer 1

2/3 ---->8/12

7/12 ----> 7/12

1) Equivalent fractions have the same value proportionally, so let's find out equivalent fractions:

$\frac{2}{3}+\frac{7}{12}$

2) To find equivalent fractions and sum those fractions, let's factorize 3 and 12 dividing them only by Prime Numbers, when one of those numbers can't be divided then we repeat it below:

As we can see on the first line, 12 can be divided by 2 and 3 cannot.

So we repeat 3 on the line below.

We then picked 6 and divided by 2, and then repeated below 3.

Then divided3 by 3

3) Now we can rewrite 2/3 + 7/12 as:

So using the Least Common Denominator we have 2/3 (8/12) and 7/12 (7/12) as their equivalent fractions. Note that 7/12 in this case is equivalent to itself.