To add fractions, you must first make the denominators the same. The denominators are the bottom numbers of the fractions. When you add a negative fraction and a positive fraction, you are essentially subtracting one fraction from the other.
The process of adding and subtracting negative fractions can be straightforward, if you keep in mind two things. A negative fraction added to another negative fraction will result in a negative fraction as result. A negative fraction subtracted from another is the same thing as adding the positive complement of that fraction.
A student asked, :how do I add positive and negative fractions?"
So this is negative 2 and 1/6. Now, there's a couple ways to think about it. You could just say, hey, look, when you add this arrow, this thing that's moving to the left-- we could put it over here, and you would get straight to negative 2 and 1/6. But we're adding this negative 2 and 1/6. It's the same thing as subtracting a positive 2 and 1/6.
When an equation calls for adding a negative fraction, we can rewrite the equation as subtracting a positive fraction. Likewise, if the equation calls for subtracting a negative fraction, this is the same as adding a positive fraction and can be rewritten this way. This calculator rewrites negative fractions when it shows the work involved in ...
Let's do a few examples multiplying fractions. So let's multiply negative 7 times 3/49. So you might say, I don't see a fraction here. This looks like an integer. But you just to remind yourself that the negative 7 can be rewritten as negative 7/1 times 3/49. Now we can multiply the numerators. So the numerator is going to be negative 7 times 3.
Negative Fractions, Decimals, and Percents. Just like whole numbers can be positive or negative, fractions, decimals and percents can also be positive or negative. So far, you’ve probably only seen them as positive, either with a positive sign (+) in front of them, or no sign at all, implying that they’re positive.