Question
Solve using cross products
7/n = 8/7
7/n = 8/7
Answers
GPT-4o mini
To solve the proportion \( \frac{7}{n} = \frac{8}{7} \) using cross products, we can use the property that in a proportion, the cross products are equal. This means:
\[
7 \times 7 = 8 \times n
\]
Calculating the left side, we have:
\[
49 = 8n
\]
Now, to solve for \( n \), we divide both sides by 8:
\[
n = \frac{49}{8}
\]
So, the solution is:
\[
n = 6.125
\]
or as a fraction:
\[
n = 6 \frac{1}{8}
\]
Thus, \( n = \frac{49}{8} \).
\[
7 \times 7 = 8 \times n
\]
Calculating the left side, we have:
\[
49 = 8n
\]
Now, to solve for \( n \), we divide both sides by 8:
\[
n = \frac{49}{8}
\]
So, the solution is:
\[
n = 6.125
\]
or as a fraction:
\[
n = 6 \frac{1}{8}
\]
Thus, \( n = \frac{49}{8} \).