Question

Rename 2/3 and 7/12 using the least common denominator.

Answer 1

the denominators are...

3 and 12.

what is the least common multple of 3 and 12?

Answer 2

4?

Answer 3

count by 3's count by 12's

what's the first number common to both counts?

Answer 4

12

Answer 5

that's the common denominator.

so there's no need to do anything to the second fraction, it already has 12 as a denominator.

to get the first with a denominator of 12, you need to multiply.

\[\frac{ 2 }{ 3 }= \frac{ 2 }{ 3 }\cdot\left(1\right)= \frac{ 2 }{ 3 }\cdot\left(\frac{ 4 }{ 4 }\right)=\frac{ 8 }{ 12 }\]
we can only multiply by 1 so we don't change the value, only the appearance. kind of like getting dressed up for halloween... you are still you, you just look different

Answer 6

oh ok thank you!!