**Write a subtraction statement involving two negative fractions or negative mixed fractions so that the difference is -4/3.**

So basically, it's a - b= -4/3.

You can just inverse the statement and make it -4/3 + b = a. B and A have to both be negatives so for B, I just chose a random negative fraction like -2/5.

-4/3 + (-2/5) = a

When I did this, a came out as -26/15.

So it's -4/3 + (-2/5) = -26/15.

If you make it back to

**a - b = -4/3**, it'd become

**. I even checked it. It's right.**

*-26/15 - (-2/5) = -4/3*I wasn't sure if it might work with other negative fractions so I tried it with

*-6/7*.

-4/3 + (-6/7) = a

It came out as

**-4/3 + (-6/7) = -46/21**.

I made it back to

**a - b =-4/3**again. It became

*-46/21 -(-6/7) = -4/3*. It also works.

I'd make pictures but my paint isn't being cooperative with me and neither are my cameras. I'll try again tomorrow though...

Answering Mr. Backe's question, I think it will work everytime because it's a - b = -3/4, right? A and B have to be negatives. So when you inverse the statement to -3/4 + b = a, it should work because A has to be a negative and a

**negative plus a negative equals a negative.**

## 3 comments:

Thanks Aleiah. Do two fraction questions prove your conjecture? Will it always work?

Great post Aleiah! You were right when you called it inverse. Your examples were really good, and good job explaining it.

Nice post Aleiah! You really explained that well and your examples were easy to understand.

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