Add the following rational numbers. 3 4 and -3 5 - Vidyadip

Question

Add the following rational numbers.
$\frac{3}{4}\ \text{and}\ \frac{-3}{5}$

✓

Answer

The denominators of the given rational number are 4 and 5.

LCM of 4, 5 is 20

Now,

$\frac{3}{4}=\frac{3\times5}{4\times5}$

$=\frac{15}{20}$

and $\frac{-3}{5}=\frac{-3\times4}{5\times4}$

$=\frac{-12}{20}$

$\therefore\frac{3}{4}+\Big(\frac{-3}{5}\Big)$

$=\frac{15}{20}+\frac{-12}{20}$

$=\frac{15+(-12)}{20}$

$=\frac{15-12}{20}$

$=\frac{3}{20}$

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