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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Rational Numbers - Exercise in Chapter 1 - Rational Numbers
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The numerical expression \frac{3}{8}+(-\frac{5}{7})=(-\frac{19}{56}) shows that _____.
Answer:
\frac{3}{8}+(-\frac{5}{7})
Take the LCM of the denominators of the given rational numbers.
LCM of 8 and 7 is 56
Express each of the given rational numbers with the above LCM as the common denominator.
Now,
\frac{3}{8}=\frac{3\times7}{8\times7}=\frac{21}{56}
-\frac{5}{7}=\frac{-5\times8}{7\times8}=-\frac{40}{56}
Then,
=\frac{21}{56}+-\frac{40}{56} … [[∵ denominator is same of both the rational numbers]]
=\frac{(21-40)}{56}=-\frac{19}{56}
As the answer is a rational number, we can say that rational numbers are closed under addition.
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