Question
88 W These two equations are equal. \[ \begin{array}{l} 4 \times \frac{2}{6}= \\ \frac{1}{4} \times \frac{2}{9}= \end{array} \] True False
Ask by Bob Sullivan. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The two equations are not equal.
Solution
**False**
Let's evaluate both expressions to determine if they are equal.
1. **First Expression:**
\[
4 \times \frac{2}{6} = 4 \times \frac{1}{3} = \frac{4}{3} \approx 1.333
\]
2. **Second Expression:**
\[
\frac{1}{4} \times \frac{2}{9} = \frac{2}{36} = \frac{1}{18} \approx 0.0556
\]
Since \( \frac{4}{3} \) is not equal to \( \frac{1}{18} \), the two equations are **not** equal.
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Extra Insights
Let's do some quick calculations! For the first equation, \( 4 \times \frac{2}{6} = 4 \times \frac{1}{3} = \frac{4}{3} \). Now for the second equation, \( \frac{1}{4} \times \frac{2}{9} = \frac{2}{36} = \frac{1}{18} \). Since \(\frac{4}{3}\) is quite different from \(\frac{1}{18}\), the two equations are not equal. Therefore, the answer is **False**.