Question

Find the sum of the following rational numbers :
-4/5 + 13/10 + -7/15​

Answer 1

According to given question we are asked to solve the rational numbers .$(\frac{-4}{5} ) + ( \frac{13}{10}) + ( \frac{-7}{15} )$

To solve : to perform addition and subtraction of given rational numbers.

Solution :

• To solve above rational numbers we need to check if their denominators  are same or not .
• To equalize value of denominators we need to take LCM Of all three denominators.
• LCM = 30
• Hence by taking LCM and multiplying numerators by same number as denominators we get,

         $(\frac{-24}{30} ) + (\frac{39}{30}) + (\frac{-14}{30} )$

• Now , combining denominators and performing simple addition and subtraction we get ,

                   =   $\frac{-24 + 39 -14}{30}$                                (∵ $( + ) \times (-) = -$ )

• on solving we get value as :      

                         =  $\frac{1}{30}$

Hence correct answer is $\frac{1}{30}$ .

Answer 2

• As per the data given in the question, we have to find the value of the expression.

           Given data:-$\frac{-4}{5} +\frac{13}{10} +\frac{-7}{15}.$ .

           To find:- the value of $\frac{-4}{5} +\frac{13}{10} +\frac{-7}{15}=?$ .

           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.

                   $\frac{-4}{5} +\frac{13}{10} +\frac{-7}{15}\\=\frac{-24}{30} +\frac{39}{30} +\frac{-14}{30} \\=\frac{-24+39-14}{30} \\=\frac{1}{30} .$

        Hence we will get the value $\frac{1}{30} .$