What number will make the fractions equivalent?

712 = ?48


(1 point)
Remaining Attempts : 3
Skip to navigation

1 answer

To find the number that will make the fractions equivalent, we can set the fractions equal to one another:

\[ \frac{7}{12} = \frac{?}{48} \]

Now, let's denote the unknown number as \( x \). Thus, we have:

\[ \frac{7}{12} = \frac{x}{48} \]

To solve for \( x \), we can cross-multiply:

\[ 7 \cdot 48 = 12 \cdot x \]

Calculating \( 7 \cdot 48 \):

\[ 7 \cdot 48 = 336 \]

Now we have:

\[ 336 = 12x \]

To isolate \( x \), divide both sides by 12:

\[ x = \frac{336}{12} \]

Calculating \( \frac{336}{12} \):

\[ x = 28 \]

So, the number that will make the fractions equivalent is:

\[ 28 \]