Question

find -8/15 + 7/9.
maths answer
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Answer 1

Answer:

We will get the value of $\frac{-8}{15} +\frac{7}{9} =\frac{11}{45} .$

Step-by-step explanation:

• As per the question we have to evaluate the given data.

       Given data:- $\frac{-8}{15} +\frac{7}{9} .$

       To find:- Value of $\frac{-8}{15} +\frac{7}{9} .$

       Solution:-

• We will take the LCM of the denominators, and make denominators the same.

• We will Convert the given fractions to equivalent fractions with the denominator as the LCM.

• Adding the numerators over the denominators.

        Therefore,

        $\begin{array}{l}\frac{-8}{15}+\frac{7}{9} \\\\=\frac{-8 \times 3}{15 \times 3}+\frac{7 \times 5}{9 \times 5} \\\\=\frac{-24}{45}+\frac{35}{45} \\\\=\frac{-24+35}{45} \\\\=\frac{11}{45}\end{array}$

     The question is to find the value of $\frac{-8}{15} +\frac{7}{9} .$

Answer 2

Answer:

Value of  $\frac{-8}{15} + \frac{7}{9}$  is  $\frac{11}{45}$ .

Step-by-step explanation:  

To find : value of $\frac{-8}{15} + \frac{7}{9}$

Solution :

• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM .
• Therefore, LCM =  $45$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• Also , we knw that, If one negative and one positive integers are to be added then operation performed is subtraction and difference obtained has sign of greater integer .

        i.e.$(-)-(+)= sign \ of \ greater \ integer$  

• Therefore, we get, $\frac{-8}{15}+\frac{7}{9}=\frac{-8 \times 3}{45}+\frac{7 \times 5}{45}$

                                                    $= \frac{-24}{45} +\frac{35}{45} \\\\=\frac{-24 + 35}{45}\\\\= \frac{11}{45}$