Question
Solve for x: 4 over x equals 5 over 10
Answers
GPT-4o mini
To solve the equation
\[
\frac{4}{x} = \frac{5}{10},
\]
first, simplify the right side. Since \(\frac{5}{10} = \frac{1}{2}\), we can rewrite the equation as:
\[
\frac{4}{x} = \frac{1}{2}.
\]
Next, cross-multiply to eliminate the fractions:
\[
4 \cdot 2 = 1 \cdot x.
\]
This simplifies to:
\[
8 = x.
\]
Thus, the solution is:
\[
x = 8.
\]
\[
\frac{4}{x} = \frac{5}{10},
\]
first, simplify the right side. Since \(\frac{5}{10} = \frac{1}{2}\), we can rewrite the equation as:
\[
\frac{4}{x} = \frac{1}{2}.
\]
Next, cross-multiply to eliminate the fractions:
\[
4 \cdot 2 = 1 \cdot x.
\]
This simplifies to:
\[
8 = x.
\]
Thus, the solution is:
\[
x = 8.
\]