Explain how you can determine if 1/3 and 4/12 are equivalent fractions.

To determine if 1/3 and 4/12 are equivalent fractions, you can either simplify 4/12 or raise 1/3. I'm going to explain with an example. So we have 1/8 and 3/24. I usually make the denominators (The lower number of the fraction) the same. To do that i multiply 8 by which ever number i think will calculate to 24. So 8 times 3 is 24. So i would change the number 8 to the number 24. But what you do to the bottom you HAVE to do to the top. So i multiplied the number 8 by 3 to get 24. No i am going to multiply the top of 1/8 (which is 1, or the numerator) by 3. And 1 times 3 is 3. And that gives me 3/24. It equals the second fraction, so 1/8 and 3/24 is equivalent.

So taking your fractions, 1/3 and 4/12, we just see how many times 3 goes into 12. Or what times 3 equals 12. That is 4. So what we do to the bottom we MUST do to the top, right? So we multiply 1 by 4. That gives us 4. So 1/3 changed into 4/12. So our first fraction is now 4/12 and our second fraction is also 4/12. So they are equivalent! Hope this helped