Question

add the following -5/9 +11/8​

Answer 1

Answer:

59/72

Step-by-step explanation:

First, we need to give the two fractions a common denominator. The common denominator will be 72. To change the fractions to share the same denominator if 72, I will multiply both the numerator and the denominator of -5/9 by 8 and I will multiply both the numerator and the denominator of 1/8 by 9. This is my work for changing the fractions to share a common denominator:

$\frac{-5}{9}*\frac{8}{8}=\frac{-40}{72}$

$\frac{11}{8}*\frac{9}{9} =\frac{99}{72}$

Now that I changed our fractions to share a common denominator, our new problem should be:

-40/72 + 99/72

Now, since this is an addition problem, we will add the numerators together and keep the denominator the same.

$\frac{-40}{72}+\frac{99}{72}=\frac{-40+99}{72}=\frac{59}{72}$

So, our answer is 59/72.

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