Question
2/58=7/?? show the work
Answers
GPT-4o mini
To solve the proportion \(\frac{2}{58} = \frac{7}{x}\), we can use cross-multiplication.
1. Cross-multiply to get:
\[
2 \cdot x = 7 \cdot 58
\]
2. Calculate \(7 \cdot 58\):
\[
7 \cdot 58 = 406
\]
3. Now, we have the equation:
\[
2x = 406
\]
4. To solve for \(x\), divide both sides by 2:
\[
x = \frac{406}{2} = 203
\]
Therefore, the solution is:
\[
x = 203
\]
So, \(\frac{2}{58} = \frac{7}{203}\).
1. Cross-multiply to get:
\[
2 \cdot x = 7 \cdot 58
\]
2. Calculate \(7 \cdot 58\):
\[
7 \cdot 58 = 406
\]
3. Now, we have the equation:
\[
2x = 406
\]
4. To solve for \(x\), divide both sides by 2:
\[
x = \frac{406}{2} = 203
\]
Therefore, the solution is:
\[
x = 203
\]
So, \(\frac{2}{58} = \frac{7}{203}\).