Question
Simplify. Express your answer as a single fraction in simplest form. \( \frac{b}{5}-9 \)
Ask by Burgess Hill. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( \frac{b-45}{5} \).
Solution
Calculate or simplify the expression \( b/5-9 \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{b}{5}-9\)
- step1: Reduce fractions to a common denominator:
\(\frac{b}{5}-\frac{9\times 5}{5}\)
- step2: Transform the expression:
\(\frac{b-9\times 5}{5}\)
- step3: Multiply the numbers:
\(\frac{b-45}{5}\)
The simplified expression is \( \frac{b-45}{5} \).
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Extra Insights
To simplify the expression \( \frac{b}{5} - 9 \), we first convert the whole number 9 into a fraction that has the same denominator as \( \frac{b}{5} \). We rewrite 9 as \( \frac{9 \cdot 5}{5} = \frac{45}{5} \). Now, we can combine the fractions: \[ \frac{b}{5} - \frac{45}{5} = \frac{b - 45}{5} \] So the simplified expression as a single fraction in its simplest form is \( \frac{b - 45}{5} \).