Question

Express this as a simple fraction.a/b +a/d

Answer 1

To combine the expression \( \frac{a}{b} + \frac{a}{d} \) into a single fraction, you need to find a common denominator. The common denominator for the fractions \( b \) and \( d \) is \( bd \).

Now, rewrite each fraction with the common denominator:

\[
\frac{a}{b} = \frac{a \cdot d}{b \cdot d} = \frac{ad}{bd}
\]

\[
\frac{a}{d} = \frac{a \cdot b}{d \cdot b} = \frac{ab}{bd}
\]

Now, add the fractions:

\[
\frac{ad}{bd} + \frac{ab}{bd} = \frac{ad + ab}{bd}
\]

So, the expression \( \frac{a}{b} + \frac{a}{d} \) as a simple fraction is:

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

You can also factor out \( a \) from the numerator:

\[
\frac{a(d + b)}{bd}
\]

Thus, the final answer is:

\[
\frac{a(d + b)}{bd}
\]