To find the equivalent fraction of \( 90:35 \) in the ratio \( 18: blank \), we can set up a proportion based on the equivalent ratios:
\[ \frac{90}{35} = \frac{18}{x} \]
Now, we can cross-multiply to solve for \( x \):
\[ 90x = 18 \times 35 \]
Calculating \( 18 \times 35 \):
\[ 18 \times 35 = 630 \]
Now plugging that back into our equation:
\[ 90x = 630 \]
Dividing both sides by 90:
\[ x = \frac{630}{90} \]
Calculating that gives:
\[ x = 7 \]
Therefore, the blank should be filled with \( 7 \), making the equivalent fraction equal to \( 90:35 \) as \( 18:7 \).
So, the completed ratio is:
\( 18: 7 \)
1 answer