Question

Simplify

5/14 + 2/-7 + -3/2


Explain me step by step ​

Answer 1

$\frac{5}{14} + \frac{2}{ - 7} + \frac{ - 3}{2} \\ = > \frac{5}{14} - \frac{2}{7} - \frac{3}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > \frac{(5 \times 1) - (2 \times 2) - (3 \times 7)}{14} \\ = > \frac{5 - 4 - 21}{14} \\ = > \frac{5 - 25}{14} \\ = > \frac{ - 20}{14} \\ = > \frac{ - 10}{7}$

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Answer 2

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

       Given data:- $\frac{5}{14}+(\frac{-2}{7})+(\frac{-3}{2}).$.

        To find:- the sum of given fractions.

       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,

          $\frac{x}{y} =\frac{5}{14}+(\frac{-2}{7})+(\frac{-3}{2})\\=\frac{5\times1+(-2\times2)+(-3\times7)}{14} \\=\frac{5-4-21}{14} \\=\frac{5-25}{14}\\=\frac{-20}{14}\\=\frac{-10}{7}.$

   Hence, the value will be $\frac{-10}{7}.$