Question
Enter your question here...solve for x in 2/5x = 8/3
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{2}{5}x = \frac{8}{3} \), follow these steps:
1. **Isolate \( x \)**: Multiply both sides of the equation by \( \frac{5}{2} \) to eliminate the fraction on the left.
\[
x = \frac{8}{3} \cdot \frac{5}{2}
\]
2. **Multiply the fractions**:
\[
x = \frac{8 \cdot 5}{3 \cdot 2}
\]
3. **Perform the multiplication**:
\[
x = \frac{40}{6}
\]
4. **Simplify the fraction**:
\[
x = \frac{20}{3}
\]
Thus, the solution is
\[
\boxed{\frac{20}{3}}
\]
1. **Isolate \( x \)**: Multiply both sides of the equation by \( \frac{5}{2} \) to eliminate the fraction on the left.
\[
x = \frac{8}{3} \cdot \frac{5}{2}
\]
2. **Multiply the fractions**:
\[
x = \frac{8 \cdot 5}{3 \cdot 2}
\]
3. **Perform the multiplication**:
\[
x = \frac{40}{6}
\]
4. **Simplify the fraction**:
\[
x = \frac{20}{3}
\]
Thus, the solution is
\[
\boxed{\frac{20}{3}}
\]
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