Question

What value can be written on the blank line to make the expressions equivalent?

48 + 54 = blank (8 + 9)

Answer 1

To find the value that can be written on the blank line to make the expressions equivalent, let's first simplify both sides of the equation.

First, calculate the right side of the equation:

\[
8 + 9 = 17
\]

Now we need to determine the left side:

\[
48 + 54 = 102
\]

Now we can set up the equation:

\[
102 = \text{blank} \times 17
\]

To find the value of "blank," we solve for it by dividing both sides of the equation by 17:

\[
\text{blank} = \frac{102}{17}
\]

Now, performing the division:

\[
\text{blank} = 6
\]

Therefore, the value that can be written on the blank line to make the expressions equivalent is

\[
\boxed{6}
\]