fill in the blanks,

fractions equivalent to 90:35
18: blank

1 answer

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:

\( 18: 7 \)