<u><em>* Note: You said to help with two problems, but the screenshots you attached are two different images of the same question. I'm not sure whether or not that was intentional, but either way I thought I should let you know.</em></u>
Your answer should be:
-5/14
The explanation is as follows:
Our equations for this question is -9/14 + 2/7. This includes two fractions: -9/14 and +2/7.
First things first, we have to find a common denominator. Once we find a common denominator, we must change either one or both fractions, which includes both the numerator and denominator of said fraction(s), to fit the new denominator. In this case, our denominators are 14 and 7. Finding a new denominator is quite simple. We simply have to double 7, or multiply 7 by 2, in order to get 14. Since we get 14 from 7 already, we do not have to change -9/14. Instead, we will multiply 2/7 by 2. Both the numerator and the denominator will be multiplied. 2 * 2 = 4. Our new numerator is 4. 7 * 2 = 14. Our new denominator is 14. This creates a new fraction of 4/14. When replacing the equation with the new fraction, we are left with -9/14 + 4/14.
Now that all of the fractions have the same denominator, we can properly combine them; this time around, we will be adding the two fractions (as can be seen with the addition sign in the equation). When adding fractions, the numerators are combined, but the denominators are not. In fact, that is why we must have the same denominator for all of the fractions. For this equation, we will add the numerators of -9 and 4 and bring the denominator over. -9 is a negative number, meaning that it is less than 0. 4, or +4, is a positive number, meaning that is greater than 0. Since -9 and 4 are on opposite sides of the spectrum, whichever number is either more negative or more positive will be victorious. -9 is more negative than +4, so our answer will be negative. -9 + 4 = -5. (You can just think about -9 and decrease the value by +1 four times to have the effect of +4.) -5 is our new numerator. After bringing the denominator over, we are left with the fraction of -5/14.
Simplest form is literally just the most simple form of a fraction. The simplicity of a fraction is determined by how low of a value its denominator is. You decrease the value of the denominator by dividing it. However, whatever you divide the denominator by, you must also divide the numerator by. You cannot have a decimal value for neither the numerator nor the denominator. For example, if you were to divide -5/14 by 2, you would get -2.5/7. Since -2.5 is a decimal, this fraction is illegitimate/not allowed. With that being said, there is nothing that you can divide -5/14 by to get a smaller denominator that is not a fraction. (If you want to check, you can divide -5/14 by anything from 2-14 - but preferably not 1 since you will end up with the same exact fraction.)
<em>Therefore, -9/14 + 2/7 = </em><u><em>-5/14</em></u><em>.</em>
<u><em>P.S,</em></u><em> </em><em>H</em><em>ere's a quick little tip or piece of advice I edited in because I figured it may help somewhere along the line. You can always try to use a math calculator to help (you); and, yes, they do have explanations. Good luck!</em>
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<em>For some reason, Brainly won't let me say the names of the calculators I'm trying to recommend, so here are the links:</em>
<em>h t t p s : / / w w w . m a t h w a y . c o m / A l g e b r a</em>
<em>h t t p s : / / m a t h s o l v e r . m i c r o s o f t . c o m / e n</em>
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<em>Sorry for the weird format, I had to space them out because Brainly won't accept the proper nouns for some reason.</em>
<em>Also, I'm not sure how free M's (the first one's) explanations are anymore, but I know that MMS's (the second one's) descriptions do not cost.</em>
