Question

If a/b| + c/d| are any two rational numbers, then what will be their sum?
ad+bc/bd|
a+c/bd|
ad−bc/b|
a(d+c)/bd|

Answer 1

To find the sum of the two rational numbers \(\frac{a}{b}\) and \(\frac{c}{d}\), we can use the formula for adding fractions.

The addition of two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\) is given by:

\[
\frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d}
\]

So, simplifying this gives us:

\[
\frac{ad + bc}{bd}
\]

Therefore, the sum of the two rational numbers \(\frac{a}{b}\) and \(\frac{c}{d}\) is:

\[
\frac{ad + bc}{bd}
\]

The correct answer from your options is:

\[
\frac{ad + bc}{bd}
\]