Understand the Problem
The question seems to involve evaluating a mathematical expression or problem related to the image provided. We need to determine what mathematics is being illustrated to assist with a solution.
Answer
The combined expression is: $$ \frac{ad + cb}{bd} $$
Answer for screen readers
The final answer is:
$$
\frac{ad + cb}{bd}
$$
Steps to Solve
-
Identify the expression
The expression in the image is $\frac{a}{b} + \frac{c}{d}$. -
Find a common denominator
To add the two fractions, we need a common denominator. The common denominator will be $bd$. -
Rewrite each fraction
Rewrite the fractions with the common denominator:
$$ \frac{a}{b} = \frac{a \cdot d}{b \cdot d} = \frac{ad}{bd} $$
$$ \frac{c}{d} = \frac{c \cdot b}{d \cdot b} = \frac{cb}{bd} $$ -
Combine the fractions
Now that both fractions have a common denominator, we can combine them:
$$ \frac{ad}{bd} + \frac{cb}{bd} = \frac{ad + cb}{bd} $$ -
Final expression
Thus, the final expression after combining the fractions is:
$$ \frac{ad + cb}{bd} $$
The final answer is:
$$
\frac{ad + cb}{bd}
$$
More Information
This result shows how to add two fractions with different denominators by finding a common denominator, which is a fundamental concept in algebra.
Tips
- Not finding a common denominator: Always double-check that the denominators are the same before combining fractions.
- Incorrectly multiplying the numerators/denominators: Ensure that multiplication is applied correctly when rewriting fractions.
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