Question
c. If \( \frac{23}{5} \) is equivalent to \( m \frac{3}{5} \), then \( m= \)
Ask by Marshall Stephens. in Egypt
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( m = \frac{23}{3} \)
Solution
Calculate or simplify the expression \( 23/5 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{23}{5}\)
Calculate or simplify the expression \( 4.6 \).
Numbers by following steps:
- step0: Solution:
\(4.6\)
Given that \( \frac{23}{5} \) is equivalent to \( m \frac{3}{5} \), we can set up the equation:
\[ \frac{23}{5} = m \frac{3}{5} \]
To solve for \( m \), we can multiply both sides of the equation by \( \frac{5}{3} \) to isolate \( m \):
\[ m = \frac{23}{5} \times \frac{5}{3} \]
\[ m = \frac{23}{3} \]
Therefore, \( m = \frac{23}{3} \).
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Simplify this solution Extra Insights
To find \( m \) in the equation \( \frac{23}{5} = m \frac{3}{5} \), we first eliminate the denominator by multiplying both sides by 5: \[ 23 = m \cdot 3 \] Next, we isolate \( m \) by dividing both sides by 3: \[ m = \frac{23}{3} \] Thus, \( m = 7.6667 \) (or \( 7 \frac{2}{3} \) if you prefer it in mixed fraction form). So, the value of \( m \) is approximately 7.67 or exactly \( \frac{23}{3} \).
