Question
4. \( \frac{a+b}{a}= \)
Ask by Long Tran. in South Africa
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a + b)/a simplifies to 1 + (b/a).
Solution
To simplify (a + b)/a, you can separate the fraction into two parts:
(a + b)/a = a/a + b/a
Since a/a equals 1 (provided a ≠ 0), the expression becomes:
1 + b/a
Thus, (a + b)/a simplifies to 1 + (b/a).
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Simplify this solution Mind Expander
Let’s dive into simplifying that expression! When you divide \( a+b \) by \( a \), you can separate the terms in the numerator, giving you \( \frac{a}{a} + \frac{b}{a} \). This results in \( 1 + \frac{b}{a} \). So, the simplified expression is \( 1 + \frac{b}{a} \)! Now, think about this in terms of ratios! This can be a useful form for solving real-world problems involving proportions. For example, if \( a \) represents the total budget and \( b \) is what you've spent, this expression will show you how much of your budget is remaining as a proportion of your total!
