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## Arithmetic (all content)

### Course: Arithmetic (all content) > Unit 5

Lesson 8: Equivalent fractions 2- Equivalent fractions
- Visualizing equivalent fractions
- Equivalent fractions (fraction models)
- More on equivalent fractions
- Equivalent fractions
- Equivalent fractions
- Equivalent fractions 2
- Equivalent fractions review
- Equivalent fractions and different wholes
- Equivalent fractions and different wholes
- Simplify fractions

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# Equivalent fractions review

Review equivalent fractions with multiplication, and try some practice problems.

## Equivalent fractions

Fractions are

**equivalent**if they are equal or represent the same amount.*Want to learn about visualizing equivalent fractions? Check out this article.*

## Finding equivalent fractions using multiplication

Let's look at an example.

What number could replace $a$ below?

First, we need to figure out what to multiply $3$ by to get $12$ :

Next, we multiply the numerator by the same number as the denominator:

*Want to learn more about equivalent fractions? Check out this video.*

## Want to join the conversation?

- 3/6 is the same as 9/18.(88 votes)
- Yes, you are correct! If you put 3/6 and 9/18 into lowest terms, you get 1/2. You can also multiply 3/6 by 3/3 to get 9/18, but you can also divide 9/18 by 3/3, which equals to 3/6. Another way to solve is to divide the numerator by the denominator. For example, divide 3 by 6 is 0.5, and divide 9 by 18 is also 0.5. More on this: https://www.khanacademy.org/math/arithmetic-home/arith-review-decimals/decimals-to-fractions/v/converting-fractions-to-decimals

Hope this helps!(55 votes)

- I was just wondering how you guys find so many ways to help explain the problem. I have been struggling in math for years!! this really helped!(22 votes)
- this is possible beacause 3+3+3=9

and 1x3=3(11 votes) - is 3/6 the same as 9/18?(9 votes)
- yes, they are both equivalent to one half(3 votes)

- 3/10 is equivalent to 30/100(10 votes)
- what is 11 wholes times 50/99(6 votes)
- can Equivalent fractions also be Equivalent if they are added or subtracted?

like 4/6 = 7/9(6 votes)- No, a fraction is only an equivalent fraction when it can be obtained by multiplying or dividing both the numerator and denominator by the same number. This results in a set of fractions which are exactly equal.

In the case of 4/6, the equivalent fractions include 2/3 , 8/12, 12/18 etc.

(All these equivalent fractions of 4/6 equal approximately 0.67 like 4/6 itself)

Similarly 7/9 will have a set of equivalent fractions that equal approximately 0.78 like it.(7 votes)

- Bruh moment. This is so hard, why is there a 100 and 10 like 3/10 and r/100 like what the heck? does anyone know how to solve this? 😩😩(7 votes)
- You just think about mulytiplication sometimes add and subtract. Hope this helps!(2 votes)

- This is easy and not easy for me but i got it right(6 votes)
- Sometimes this is hard to figure out; is there a way to do this on paper by using an array or something!?(3 votes)